Chapter 6: Q. 115 (page 710)

In the following exercises, simplify each expression using the Power Property for Exponents.
$ⓐ {(b^{2})}^{7} ⓑ {(3^{8})}^{2}$

Short Answer

Expert verified

(a) The value of ${(b^{2})}^{7} = b^{14}$ .

(b) The value of ${(3^{8})}^{2} = 3^{16}$ .

Step by step solution

Step 1. Given Information

In the given exercises, we have to simplify given expression using the Power Property for Exponents.
$ⓐ {(b^{2})}^{7} ⓑ {(3^{8})}^{2}$

Part (a) Step 1. The given expression is (b2)7

Use the power property, ${(a^{m})}^{n} = a^{m \cdot n}$

${(b^{2})}^{7} = b^{2 \cdot 7}$

Simplify.

${(b^{2})}^{7} = b^{14}$

Part (b) Step 1. The given expression is (38)2

Use the power property, ${(a^{m})}^{n} = a^{m \cdot n}$

${(3^{8})}^{2} = 3^{8 \cdot 2}$

Simplify.

${(3^{8})}^{2} = 3^{16}$

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In the following exercises, simplify each expression using the Power Property for Exponents.
$ⓐ {(b^{2})}^{7} ⓑ {(3^{8})}^{2}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given expression is (b2)7

Part (b) Step 1. The given expression is (38)2

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In the following exercises, simplify each expression using the Power Property for Exponents.ⓐ(b2)7ⓑ(38)2

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given expression is (b2)7

Part (b) Step 1. The given expression is (38)2

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression using the Power Property for Exponents.
$ⓐ {(b^{2})}^{7} ⓑ {(3^{8})}^{2}$