Problem preview
N-RN.2 Warmup M2-061-A05-V01

Rewrite expressions with radicals and rational exponents using exponent properties.

Rewrite a rational exponent in radical form

Problem

Rewrite \(x^{5/6}\) in radical form by using \(6\) as the root index and \(5\) as the power.

Big Picture

What this problem is really about

Rational-exponent conversion assigns the denominator to the radical index and numerator to the radicand’s power. We’ll map those roles without swapping them, construct the radical, convert back through a power of a power, and state the real-domain restriction created by the even root.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-RN.2
Category
Number and Quantity
Domain
The Real Number System
Objective
Rewrite expressions with radicals and rational exponents using exponent properties.
Problem type
Rewrite a rational exponent in radical form