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Laws of Exponents

Question 1 • AZ-Common Core Algebra II A

Which expressions are perfect cubes?

Answer
A
–1,000
B
27r21
C
343p
D
g3h30
E
–1

Explanation

A perfect cube has a coefficient that is a perfect cube and variable exponents divisible by 3. −1,000 = (−10)³, and 27r²¹ = (3r⁷)³. Also, g³h³⁰ = (gh¹⁰)³, and −1 = (−1)³. Choice C, 343p, is not a perfect cube because the exponent of p is 1, not a multiple of 3.

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