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N-RN.2 Warmup M2-061-A04-V03

Rewrite expressions with radicals and rational exponents using exponent properties.

Rewrite a product of radicals with the same base by adding rational exponents

Problem

Express \(\sqrt[3]{y^{2}}\cdot~\sqrt[3]{y}\) as rational powers of \(y\), add \(2/3\) and \(1/3\), and simplify the resulting power.

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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 product of radicals with the same base by adding rational exponents