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4 votes
Which expression is a perfect cube?

Which expression is a perfect cube?-example-1
User Molfar
by
6.8k points

2 Answers

3 votes

Answer:

-1,331m^18n^15p^21

Explanation:

Just took the test Edg 2020

User Leonid Pavlov
by
7.3k points
2 votes

Answer:

-1,331m¹⁸n¹⁵p²¹ = (-11m⁶n⁵p⁷)³

Explanation:

The cube root of 1452 is about 11.32371348.... It is not a perfect cube. The cube root of 1331 is 11, so the cube root of -1331 is -11. Either way, the number ±1331 is a perfect cube.

In order for the constellation of variables to be a perfect cube, all the exponents need to be multiples of 3. 22 is not a multiple of 3.

These criteria eliminate the 1st, 3rd, and 4th answer choices, leaving only the 2nd choice.

User Dieworld
by
6.0k points
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