## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises - Page 234: 84

#### Answer

$\sqrt [5] {a^{2}b^{4}c}$

#### Work Step by Step

Step 1: According to the text, the denominator of the exponent becomes the radical’s index. The numerator, on the other hand, remains the exponent of the variable. Step 2: Therefore, $(a^{2}b^{4}c)^{\frac{1}{5}}=\sqrt [5] {a^{2}b^{4}c}$.

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