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N-RN.2 Warmup M2-061-A03-V02

Rewrite expressions with radicals and rational exponents using exponent properties.

Simplify a power raised to a power when the exponents are rational numbers

Problem

For \(a\ge~0\), simplify \((a^{1/2})^{4/3}\) by multiplying \(1/2\) and \(4/3\), then reduce the exponent.

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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 a power raised to a power when the exponents are rational numbers