By what number should (-3/2)-3 be divided so that the quotient is (-8/27)-2
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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
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
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