7.9 negative exponents objective: to use negative exponents. warm – up: simplify. 1)2)3) evaluate....
TRANSCRIPT
7.9 Negative Exponents
• Objective: To use negative exponents.
• Warm – up: Simplify.1) 2) 3)
Evaluate.4) 50 5) 6) 7)
9
3
x
x
3
3
x
x
3
9
x
x
2
1
4
3
2
1
3
3
6
2
2
7.9 Negative Exponents
The Rules YOU NEED to KnowProduct of Powerso am∙an = am+n
Power of a Powero (am)n = am n∙
Power of a Producto (ab)m = ambm
Quotient of Powerso
Power of a Quotiento
Some New RulesNegative Exponento
o If a is a non-zero number and n is a positive integer, move the negative exponent to “make it happy”.
Zero Exponento a0 = 1
o Any value to the 0th power equals 1 except 0.o 00 has no meaning.
orm
m n m n m nn
aa a a a
a
orxm m m mx
m n nx
a a a a
b b b b
1 1or
1
nn n
n n
aa a
a a
7.9 Negative Exponents
Simplify.o 4-3
o (12-1)-2
o (4 3)∙ -2
o
o
o
3
4
4
40
2
5 2
2
3 2
4
8 8
8
7.9 Negative Exponents
Simplify.o
o
o
o
o
o
11 23 3
13 2
1
2 4
2
30 2
2
3 2
2
11 23 3
32 3
32 3
7.9 Negative ExponentsSimplify. Give the answer using all positive exponents.
o
o
o
o
• Homework:– Worksheet
23x
24x
1 3x y
22 5a a