exponents and powers
DESCRIPTION
Exponents and PowersTRANSCRIPT
Vocabulary• 46 Base Exponent
The exponent is sometimes referred to as
the power.
What is the meaning of 46 ?• 46 means to multiply the base 4 by itself 6 times.
The meaning of the exponent:
•1.) 46 = 4•4•4•4•4•4
•2.) 43 = 4 • 4 • 4•3.) 41 = 4•4.) 40 = ?
The meaning of the exponent:
•4.) 40 = 1
If 8/4 = 2, then we can say that 23/ 22 = 21. So if 4/4 = 1,we can say that 22/ 22 = 20, therefore 20 must EQUAL 1.
•5.) 4-1 = 1/4
Fill-in the chart•1.) 24 = •2.) 23 = 8 •3.) = 4
•4.) 21 =
•5.) 20 = •6.) 2-1 = •7.) 2-2 = 1/4•8.) 2-3 =
As the exponent gets smaller, what do you
notice about the answer?
Fill - in the chart•1.) 24 = 16
•2.) 23 = 8 •3.) 22 = 4 •4.) 21 = 2
•5.) 20 = 1•6.) 2-1 = 1/2•7.) 2-2 = 1/4•8.) 2-3 = 1/8
Evaluate the following expressions with exponents
•1.) n3 when n =4•43 = 4 • 4 • 4 = 64
•43 = 64
Evaluate the following expressions with exponents
•2.) 15 + x2 when x = 5
•15 + 52
•15 + 5 • 5 • 15 + 25 = 40
Evaluate the following expressions with exponents
•3.) (3a + 6b)2 when a = 1 & b = 2(3(1) + 6(2))2(3 + 12)2 (15)2 225
Evaluate the following expressions with exponents
•4.) 2x3 and (2x)3 when x = 4
•2(43) and (2•4)3 •2(64) and (8)3
•128 and 512
Closure•1.) What’s the difference between an expression and an equation?
•2.) What the difference between a term and a factor?
Closure - Name the following
What’s this?
What’s this?
Closure - Name the following
1.) is 3 a factor or term?2.) What is the 2 called?3.) Is 3x a factor or a term?4.) Is 3x + 2 an expression or an equation?