Question 1 • LA-Algebra II A
A perfect cube has a coefficient that is a perfect cube and variable exponents that are multiples of 3. Since −1,000 = (−10)³, choice A is a perfect cube; 27r²¹ = (3r⁷)³, so B is too. Choice D, g³h³⁰, is (gh¹⁰)³, and −1 = (−1)³, so D and E are also perfect cubes. In C, the exponent of p is 1, so 343p is not a perfect cube.
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