Question

by what number should( -3/2) ^-3 be divided so that the quotient may be (-8/27) ^-2​

Answer 1

Answer:

(8/-27)³

Step-by-step explanation:

[(-3/2)^-3]/x=(-8/27)^-2

(8/-27)=27×27/8×8

(8/-27)³

Answer 2

Answer:

-27/8

Step-by-step explanation:

let a = (-3/2)^-3

and b = (-8/27)^-2

and the number = x

so according to question -

= a/x = b

so X = ab

replace the values

= (-3/2)^-3*(-8/27)^-2

= (-3/2)^-3*[(-2/3)^3]^-2

= (-3/2)^-3*(-2/3)^-6

= (-2/3)^3*(-2/3)^-6

= (-2/3)^{3+(-6)}

= (-2/3)-3

= (-3/2)^3

= -27/8 answer

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