Chapter 6: Q. 91 (page 710)

In the following exercises, simplify each expression with exponents.
$ⓐ 8^{3} ⓑ 8^{1} ⓒ {(\frac{3}{4})}^{3} ⓓ {(0.4)}^{3}$

Short Answer

Expert verified

$ⓐ The value of 8^{3} is 512 . ⓑ The value of 8^{1} is 8 . ⓒ The value of {(\frac{3}{4})}^{3} is \frac{27}{64} . ⓓ The value of {(0.4)}^{3} is 0.064 .$

Step by step solution

Step 1. Given Information

In the given exercises, we have to simplify each expression with exponents.

$ⓐ 8^{3} ⓑ 8^{1} ⓒ {(\frac{3}{4})}^{3} ⓓ {(0.4)}^{3}$

Part (a) Step 1. Given expression is 83

Multiply three factors of 8.

$= 8 \times 8 \times 8$

Simplify.

$= 512$

Part (b) Step 1. Given expression is 81

Multiply one factors of 8.

$= 8$

Part (c) Step 1. Given expression is 343

Multiply three factors of $\frac{3}{4}$ .

$= \frac{3}{4} \times \frac{3}{4} \times \frac{3}{4}$

Simplify.

$= \frac{27}{64}$

Part (d) Step 1. Given expression is (0.4)3

Multiply three factors of $0.4$ .

$= 0.4 \times 0.4 \times 0.4$

Simplify.

$= 0.064$

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In the following exercises, simplify each expression with exponents.
$ⓐ 8^{3} ⓑ 8^{1} ⓒ {(\frac{3}{4})}^{3} ⓓ {(0.4)}^{3}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Given expression is 83

Part (b) Step 1. Given expression is 81

Part (c) Step 1. Given expression is 343

Part (d) Step 1. Given expression is (0.4)3

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In the following exercises, simplify each expression with exponents.ⓐ83ⓑ81ⓒ343ⓓ(0.4)3

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Given expression is 83

Part (b) Step 1. Given expression is 81

Part (c) Step 1. Given expression is 343

Part (d) Step 1. Given expression is (0.4)3

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression with exponents.
$ⓐ 8^{3} ⓑ 8^{1} ⓒ {(\frac{3}{4})}^{3} ⓓ {(0.4)}^{3}$