Question

By what number should (-2/3)^-3 be divided so that the quotient may be (4/3(^-2​

Answer 1

Solution:

Let the number = x

(-2/3)^-3/x = (4/3)^-2

=> (-3/2)³/x = (3/4)²

=>[ (-3)³/2³ ]/(3/4)² = x

=> [(-3³)/2³ × (4/3)²] = x

=> [-3³×4²]/(2³×3²) = x

=> (-3× 16)/8 = x

=> (-3)×2 = x

=> x = -6

Therefore,

x = -6

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