Chapter 6: Q. 90 (page 710)

In the following exercises, simplify each expression with exponents.
$ⓐ 2^{6} ⓑ 14^{1} ⓒ {(\frac{2}{5})}^{3} ⓓ {(0.7)}^{2}$

Short Answer

Expert verified

$ⓐ The value of 2^{6} is 64 . ⓑ The value of 14^{1} is 14 . ⓒ The value of {(\frac{2}{5})}^{3} is \frac{8}{125} . ⓓ The value of {(0.7)}^{2} is 0.49 .$

Step by step solution

Step 1. Given Information

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

$ⓐ 2^{6} ⓑ 14^{1} ⓒ {(\frac{2}{5})}^{3} ⓓ {(0.7)}^{2}$

Part (a) Step 1. Given expression is 26

Multiply six factors of 2.

$= 2 \times 2 \times 2 \times 2 \times 2 \times 2$

Simplify.

$= 64$

Part (b) Step 1. Given expression is 141

Multiply one factors of 14.

$= 14$

Part (c) Step 1. Given expression is 253

Multiply three factors of $\frac{2}{5}$ .

$= \frac{2}{5} \times \frac{2}{5} \times \frac{2}{5}$

Simplify.

$= \frac{8}{125}$

Part (d) Step 1. Given expression is (0.7)2

Multiply two factors of $0.7$ .

$= 0.7 \times 0.7$

Simplify.

$= 0.49$

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In the following exercises, simplify each expression with exponents.
$ⓐ 2^{6} ⓑ 14^{1} ⓒ {(\frac{2}{5})}^{3} ⓓ {(0.7)}^{2}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Given expression is 26

Part (b) Step 1. Given expression is 141

Part (c) Step 1. Given expression is 253

Part (d) Step 1. Given expression is (0.7)2

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In the following exercises, simplify each expression with exponents.ⓐ26ⓑ141ⓒ253ⓓ(0.7)2

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. Given expression is 26

Part (b) Step 1. Given expression is 141

Part (c) Step 1. Given expression is 253

Part (d) Step 1. Given expression is (0.7)2

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

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Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression with exponents.
$ⓐ 2^{6} ⓑ 14^{1} ⓒ {(\frac{2}{5})}^{3} ⓓ {(0.7)}^{2}$