Question

(-12)³ = (-6)³ X _____
(a) 2³ (b) 3² (c) (-2)³
Write the correct answer from the given alternatives to make the statement true.

Answer 1

(-12)³ = (-12) x (-12) x (-12) = -1728.

and (-6)³ = (-6) x (-6) x (-6) = -216

Dividing -1728 and -216 we get, 8.

Now factors of 8 are 2 x 2 x 2 = 2³

Therefore, the correct answer is 2³. i.e. (option a)

The correct answer from the given alternatives to make the statement true is 2³.

Answer 2

Hi ,

( -12 )³ = ( -6 )³ X

( -12 )³/( -6 )³ = X

( -12 /-6 )³ = X

[ since a³/b³ = ( a/b)³ ]

2³ = X

Option ( a ) is correct

I hope this helps you.

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