Question

By what number should (-3/2)3 be divided so that the quotient is (9/4)-2?

Answer 1

Solution :-

Let number be x.

So, according to the question.

⇒ (-3/2)⁻³ ÷ x = (9/4)⁻²

⇒ (-3/2)⁻³ = (-2/3)³  = -8/27

⇒ (9/4)⁻² = (4/9)² = 16/81

-8/27 ÷ x/1 = 16/81

⇒ -8/27 × 1/x = 16/81

⇒ -8/27x = 16/81

⇒ (-27x*16) = 8*81

⇒ -432x = 648

⇒ -x = 648/432

⇒ -x = 3/2

⇒ x = -3/2

Answer.