Question

By what number should (-2/3)-3 be divided so that the quotient may be (4/27)-2

Answer 1

let the no. be x

(-3/2)^-3 ÷ x = (4/27)^-2

x = (4/27)^-2 × (-3/2)^-3

now we'll make the power positive

x = (27/4)^+2 × (4/-3)^+3

x = 729 / 16 × 16/-27

x = -27/2

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