Problem preview
N-RN.1 Warmup M2-060-A03-V04

Explain rational exponents as extensions of integer exponent rules and as radical notation.

Rewrite a radical as a rational exponent by matching the root index to the denominator

Problem

Write the fifth root of \(m^{4}\) as \(\text{one}~\text{rational}~\text{power}\) of \(m\). Use \(4\) for the numerator and the root index \(5\) for the denominator.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-RN.1
Category
Number and Quantity
Domain
The Real Number System
Objective
Explain rational exponents as extensions of integer exponent rules and as radical notation.
Problem type
Rewrite a radical as a rational exponent by matching the root index to the denominator