Question

by what number should(3/-2)^-3 be divided to get (2/3)^2

Answer 1

Hi ,

Let x should be divided with ( 3 /- 2 )^-3 to get

( 2/ 3 )²

( - 3 / 2 )^-3 / x = ( 2 / 3 )²

( - 2/ 3 )³ = x × ( 2/3 )²

[since ( a/b )^-m = ( b/a )^m ]

[ - ( 2/3 )³ ] × ( 3/2 )² = x

[ - 8/27 × 9 / 4 ] = x

( -2 / 3 ) = x

x = - 2/ 3

I hope this helps you.

:)

Answer 2

First simplify , (3/-2)^-3

= (-2)³/3³

=-8/27

Now find (2/3)²=2²/3²=4/9

Let the number to be find is x

-8/27 ÷ x = 4/9

-8/27 ÷ 4/9 =x

-8/27 × 9/4 = x

x=-2/3 .

Hope helped !