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AssignmentMultiple Select

Unit Test

Question 1 • NJ-Algebra II

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 cube and variable exponents divisible by 3. −1,000 = (−10)³, and 27r²¹ = (3r⁷)³. Also, g³h³⁰ = (gh¹⁰)³, and −1 = (−1)³. In 343p, although 343 = 7³, the exponent of p is 1, so the expression is not a perfect cube.

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