Problem preview
N-RN.2 Warmup M2-061-A07-V02

Rewrite expressions with radicals and rational exponents using exponent properties.

Simplify radicals with variable exponents by pulling out perfect powers

Problem

Simplify \(\sqrt[3]{y^{8}}\) by separating \(y^{6}\) as the greatest perfect-cube power and leaving \(y^{2}\) inside the cube 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
Simplify radicals with variable exponents by pulling out perfect powers