Question

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

Plz tell the ans​

Answer 1

Answer:

Step-by-step explanation:

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

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