# Exponents and Powers by BrittanyGibbons

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```									Vocabulary 6 Exponent • Base 4
The exponent is sometimes referred to as the power.

What is the 6 ? meaning of 4
• means to multiply the base 4 by itself 6 times.
6 4

•1.) = 4•4•4•4•4•4 3 = 4 • 4 • 4 •2.) 4 1 = 4 •3.) 4 0 = ? •4.) 4

The meaning of the exponent:
6 4

The meaning of the exponent:

•4.)
•5.)

0 4
-1 4

=1
= 1/4

If 8/4 = 2, then we can say that 3/ 22 = 21. So if 4/4 = 1,we can 2 2/ 22 = 20, therefore 20 say that 2 must EQUAL 1.

Fill-in the chart 0 = 4 = •1.) 2 As the •5.) 2 exponent -1 3 = 8 •6.) what= •2.) 2 gets smaller, 2 do you notice-2 •3.) about the answer?= 1/4 = 4 •7.) 2 -3 = •8.) 2 1 = •4.) 2

•1.) = 16 3 = 8 •2.) 2 2 = 4 •3.) 2 1 = 2 •4.) 2

Fill - in the chart
4 2 0 2

•5.) =1 -1 = 1/2 •6.) 2 -2 = 1/4 •7.) 2 -3 = 1/8 •8.) 2

Evaluate the following expressions with exponents

when n =4 3 = 4 • 4 • 4 = 64 •4 3 = 64 •4
•1.)

3 n

Evaluate the following expressions with exponents

•2.) 15 +
•15 +
2 5

2 x

when x = 5

•15 + 5 • 5 • 15 + 25 = 40

• 3.) (3a +

Evaluate the following expressions with exponents
2 6b)

(3(1) + 6(2)) 2 (3 + 12) 2 (15) 225

when a = 1 & b=2 2

• 4.) 2x3 and (2x)3 when x = 4

Evaluate the following expressions with exponents

and 3 •2(64) and (8) •128 and 512

3) •2(4

3 (2•4)

• 1.) What’s the difference between an expression and an equation? • 2.) What the difference between a term and a factor?

Closure

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?

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