Question

By what number should (-3/2)^-3 be divided so that the quotient may be (-8/27)^-2.
Do it fast !
I need it now.

Answer 1

Let required number be x

So, [(-3/2)^(-3) ]/x = (-8/27)^(-2)

⇒ [(-2/3)^3 ]/x = (-27/8)^2

⇒ -8/27 /x = 27²/8²

⇒ x = -8/27 * (27²/8²)^(-1)

⇒ x = -8/27 * 8²/27²

⇒ x = -8³/27³

⇒ x ~ -0.026