Chapter 8: Q. 122 (page 786)

In the following exercises, write as a radical expression.
$ⓐ g^{\frac{1}{7}} ⓑ h^{\frac{1}{5}} ⓒ j^{\frac{1}{25}}$

Short Answer

Expert verified

Part (a). $g^{\frac{1}{7}} = \sqrt[7]{g}$

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

Part (c). $j^{\frac{1}{25}} = \sqrt[25]{j}$

Step by step solution

Part (a) Step 1. Radical expression of g17

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

The denominator of the rational exponent is $7$ , so the index of the radical is $7$ . We do not show the

index when it is $7$ .

$g^{\frac{1}{7}} = \sqrt[7]{g}$

Part (b). Radical expression of h15

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

The denominator of the exponent is $5$ , so the index is $5$ .

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

Part (c) Radical expression of j125

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

The denominator of the exponent is $25$ , so the index is $25$ .

$j^{\frac{1}{25}} = \sqrt[25]{j}$

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In the following exercises, write as a radical expression.
$ⓐ g^{\frac{1}{7}} ⓑ h^{\frac{1}{5}} ⓒ j^{\frac{1}{25}}$

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of g17

Part (b). Radical expression of h15

Part (c) Radical expression of j125

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In the following exercises, write as a radical expression. ⓐg17ⓑh15ⓒj125

Short Answer

Step by step solution

Part (a) Step 1. Radical expression of g17

Part (b). Radical expression of h15

Part (c) Radical expression of j125

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Discrete Mathematics

Pure Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, write as a radical expression.
$ⓐ g^{\frac{1}{7}} ⓑ h^{\frac{1}{5}} ⓒ j^{\frac{1}{25}}$