By what number should (-2/3)³ be divided so that the quotient is (9/8) -² this is a question from 8th mathematics chapter 2 exponents

Rdurand asked Jun 25, 2023

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By what number should (-2/3)³ be divided so that the quotient is (9/8) -²

this is a question from 8th mathematics chapter 2 exponents

Rdurand asked Jun 25, 2023

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17 votes

Answer:

-3/8

Explanation:

(-2/3)³ / x = (9/8) -²

-2³/3³ = (2³/3²)²x

-2³/3³ = (2^6/3^4)x

-2³ × 3^-3 × 3^4 × 2^-6 = x

-2^-3 × 3 = x

x = -3/8

Jmcnevin answered Jul 1, 2023

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