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Chapter 2:Exponents and Scientific Notation; Lesson 1:Integer Exponents

### Guided Practice

Find the value of each power.

• Question 1

$$8^{-1}=$$

• Question 2

$$6^{-2}=$$

• Question 3

$$256^{0}=$$

• Question 4

$$10^{2}=$$

• Question 5

$$5^{4}=$$

• Question 6

$$2^{-5}=$$

• Question 7

$$4^{-5}=$$

• Question 8

$$89^{0}=$$

• Question 9

$$11^{-3}=$$

Use properties of exponents to write an equivalent expression.

• Question 10

$$4 \cdot 4 \cdot 4 = 4^?$$

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• Question 11

$$(2 \cdot 2) \cdot (2 \cdot 2 \cdot 2) = 2^? \cdot 2^? = 2^?$$

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• Question 12

$$\frac{ 6^7}{6^ 5}= \frac{6 \cdot 6 \cdot 6 \cdot 6 \cdot 6\cdot 6\cdot 6 }{ 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6} =6^?$$

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• Question 13

$$\frac{8^{12}}{8^9}= 8^{?-?}=8^?$$

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• Question 14

$$5 ^{10} · 5 · 5 = 5^?$$

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• Question 15

$$7 ^8 · 7^ 5 =7^?$$

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• Question 16

$$( 6^ 2 )^ 4 = (6 \cdot 6)^?=(6 \cdot 6) \cdot (6 \cdot 6) \cdot( ? \cdot ? ) \cdot ?=6^?$$

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• Question 17

$$( 3^ 3 )^ 3 = (3 \cdot 3 \cdot 3)^3=(3 \cdot 3 \cdot 3) \cdot (? \cdot ?\cdot ?) \cdot ?=3^?$$

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Simplify each expression.

• Question 18

$$(10 - 6) ^3 \cdot 4^ 2 + (10 + 2)^ 2$$

• Question 19

$$\frac{(12-5)^7}{[(3+4)^2]^2}$$

### ESSENTIAL QUESTION CHECK-IN

• Question 20

Summarize the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a power.

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