Question

By what number should (-3/2)^3 should be divided so that the quotient may be (-8/27)^2.
Pls give the correct answer with solution. Perfect solution answer will be the brainliest.
Correct answer is 20 points..

Answer 1

Let the number be x.

⇒ (-3/2)^3/x = (-8/27)^2

⇒ (-3/2)^3 = (-8/27)^2 * x

⇒ -27/8 = (64/729) * x

⇒ -27/8 = (64x/729)

⇒ 64x * 8 = 729 * -27

⇒ 512x = -19683

⇒ x = -19683/512.

Hence, the required number is -19683/512.

Hope this helps!