Question

By what number should $(\frac{-3}{2})^{-3}$ be multiplied so that the product is $(\frac{9}{8})^{-2}$

Answer 1

Step-by-step explanation:

-3/2*-3 = -3+-3=-6 = -6/2=answer

=-3/2

9/8 -2 = -7/9

answer -7/9

Answer 2

Let x is the required number ,

according to the problem given ,

( -3/2 )^-3 × x = ( 9/8 )^-2

=> x = ( 9/8 )^-2 /( -3/2 )^-3

=> x = ( -3/2 )³ /( 9/8 )²

=> x = ( -3/2 )³ × ( 8/9 )²

x = ( - 3 × 3 × 3 × 8 × 8 )/(2 ×2×2×9×9)

x = 8/3

Step-by-step explanation:

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