Question

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

Answer 1

answer

-8/3

Step-by-step explanation:

let the required number is to be x

( -2/3) power -3 ÷ x = ( 9/8)power-2

(-3/2) power 3 ÷ x = (8/9 ) 2. we make the power positive

x = 64 / 81 ÷ -8/27

64 / 81 × -27/8

8,/3 × -1/1

- 8/3