/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 86 Convert the expressions to radic... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 86

Convert the expressions to radical form. $$ 3^{4 / 5} $$

Short Answer

Expert verified
The converted expression into radical form is \(\sqrt[5]{3^4}\).

Step by step solution

01

Identify the base and the fractional exponent

The expression is \(3^{4/5}\), where 3 is the base and 4/5 is the fractional exponent.
02

Write the fractional exponent as a fraction

The fractional exponent is 4/5. The numerator (4) represents the power and the denominator (5) represents the root.
03

Convert to radical form

To convert the expression into radical form, we simply write the base inside a radical symbol and use the denominator (root) as the index of the radical, then raise the expression to the power of the numerator. So the expression becomes \(\sqrt[5]{3^4}\).
04

Simplification

As there is no further simplification possible for this expression, our final answer is \(\sqrt[5]{3^4}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(121 /(1+1 / 10)^{\wedge} 2\)

By any method, determine all possible real solutions of each equation Check your answers by substitution. \(x^{4}+x^{2}-1=0\)

\(y^{2}-4 y\)

Find all possible real solutions of each equation \(x^{3}-x^{2}-3 x+3=0\)

Solve the equation for \(x\) (mentally, if possible). \(x+1=3 x+1\)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.