by what number should (-2/3)^-3 be divided so that the quotient equal to (9/4)^-2 Question by what number should (-2/3)^-3 be divided so that the quotient equal to (9/4)^-2 in progress 0 Math Cora 2 months 2021-08-12T10:03:18+00:00 2021-08-12T10:03:18+00:00 2 Answers 0 views 0

## Answers ( )

Answer: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

Step-by-step explanation:Answer:## this is your answer

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