Chapter 8: Q. 121 (page 786)

In the following exercises, write as a radical expression.
$ⓐ u^{\frac{1}{5}} ⓑ v^{\frac{1}{9}} ⓒ w^{\frac{1}{20}}$

Short Answer

Expert verified

Part (a). $u^{\frac{1}{5}} = \sqrt[5]{u}$

part (b). $v^{\frac{1}{9}} = \sqrt[9]{v}$

Part (c). $w^{\frac{1}{20}} = \sqrt[20]{w}$

Step by step solution

Part (a) Step 1. Radical expression of u15

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the rational exponent is $5$ , so the index of the radical is $5$ . We do not show the

index when it is $5$ .

$u^{\frac{1}{5}} = \sqrt[5]{u}$

Part (b). Radical expression of v19

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the exponent is $9$ , so the index is $9$ .

$v^{\frac{1}{9}} = \sqrt[9]{v}$

Part (c) Radical expression of w120

We know that, $a^{\frac{1}{n}} = \sqrt[n]{a}$

The denominator of the exponent is $20$ , so the index is $20$ .

$w^{\frac{1}{20}} = \sqrt[20]{w}$

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In the following exercises, write as a radical expression.
$ⓐ u^{\frac{1}{5}} ⓑ v^{\frac{1}{9}} ⓒ w^{\frac{1}{20}}$

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of u15

Part (b). Radical expression of v19

Part (c) Radical expression of w120

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In the following exercises, write as a radical expression. ⓐu15ⓑv19ⓒw120

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of u15

Part (b). Radical expression of v19

Part (c) Radical expression of w120

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Statistics

Decision Maths

Pure Maths

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, write as a radical expression.
$ⓐ u^{\frac{1}{5}} ⓑ v^{\frac{1}{9}} ⓒ w^{\frac{1}{20}}$