express the following into positive exponential form
(3/2)^33÷(2/3)^-35​

express the following into positive exponential form
(3/2)^33÷(2/3)^-35​

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2 thoughts on “express the following into positive exponential form<br />(3/2)^33÷(2/3)^-35​”

  1. Answer:

    (2/3)²

    Step-by-step explanation:

    (3/2)³³ = 3³³/2³³

    (2/3)^(-35) =( 3/2 )³⁵ = 3³⁵/2³⁵

    (3/2)^33÷(2/3)^-35 =[ 3³³/2³³ ]× (2³⁵/3³⁵)

    =(3³³×2³⁵)/(2³³× 3³⁵)

    = 3^(33-35) × 2^(35-33)

    = 3^(-2) ×(2²)

    = (2/3)²

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