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​

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Cora 11 months 2021-08-12T10:03:18+00:00 2 Answers 0 views 0

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  1. Caroline
    0
    2021-08-12T10:05:07+00:00
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    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:

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  2. Cora
    0
    2021-08-12T10:05:14+00:00
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    Answer:

    this is your answer

    Thanks

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