Question

by what number should (-3/2)^-3 be multiplied, so that the product is (9/8)^-2​

Answer 1

Answer:

-8/3

Step-by-step explanation:

let the unkown rational number to be multiplied be x

(-3/2)^-3 ×X= (9/8)^-2

((-2/3)(-2/3)(-2/3)×X = (8/9)(8/9)

(-8/27)×X= 64/81

X = 64/81× -27/8

X = -8/3