(meaning of n 2n and laws of exponents) · meaning of an (n 2 n) and laws of exponents n;m 2n —...
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Meaning of an (n ∈ N) and Laws of Exponents
an (n ∈ N)의뜻과지수법칙(Meaning of an (n ∈ N) and Laws of Exponents)
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여
an = a× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여a
n = a× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an
= a× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an =
a× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an =
a× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a
× · · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a×
· · · × a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · ·
× a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · ×
a︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a
︸ ︷︷ ︸n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
a
n × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an
× am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an ×
am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × a
m = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am
= an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am =
an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = a
n+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an
+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+
m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)
n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n
= anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n =
anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = a
nbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = an
bn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anb
n
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(a
n)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)
m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m
= anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m =
anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = a
nm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = an
m(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm
(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm
(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(b
(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)
(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n
=an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
bn
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an
÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷
am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am
=
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m
, if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if
n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m
1 , if n = m1
am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1
, if n = m1
am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if
n = m1
am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n
, if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if
n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
n,m ∈ N에대하여an = a× · · · × a︸ ︷︷ ︸
n
an × am = an+m
(ab)n = anbn
(an)m = anm(ab
)n=
an
bn
an ÷ am =
an−m , if n > m1 , if n = m
1am−n , if n < m
Min Eun Gi : https://min7014.github.io
Meaning of an (n ∈ N) and Laws of Exponents
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Min Eun Gi : https://min7014.github.io