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Lina20 [59]
4 years ago
7

Which expression is a perfect cube?

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
7 0

Answer:

-1,331m¹⁸n¹⁵p²¹ = (-11m⁶n⁵p⁷)³

Step-by-step 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.

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What is (w-4/9)(-2/3)=-4/5
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<span>(-2/3)*(w-(4/9)) = -4/3 // + -4/3

(-2/3)*(w-(4/9))-(-4/3) = 0

(-2/3)*(w-4/9)+4/3 = 0

4/3-2/3*(w-4/9) = 0

(-2/3*3*(w-4/9))/3+4/3 = 0

4-2/3*3*(w-4/9) = 0

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(44/9-2*w)/3 = 0

(44/9-2*w)/3 = 0 // * 3

44/9-2*w = 0

44/9-2*w = 0 // - 44/9

-2*w = -44/9 // : -2

w = -44/9/(-2)

w = 22/9

w = 22/9</span>
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