Question

by what number should( -2/3)^-3
be divided so that the quotient may be
$\frac{4} {27} ^{ - 2}$

Answer 1

Hi ,

Let x divides ( -2/3 )^-3 to get the

quotient ( 4/27 )^ -2

( -2/3 )^-3 / x = ( 4/27 )^-2

( 3/2 )³ = ( 27/4 )² × x

( 3/2 )³ / ( 27/4 )²= x

( 3/2 )³ × ( 4/27 )² = x

( 3×3×3 × 4 × 4 )/( 2×2×2×27×27)= x

After cancellation ,

2/27 = x

Therefore ,

Required number = x = 2/27

I hope this helps you.

: )

Answer 2

Step-by-step explanation:

Hey,Let the number be x.Then,

(-2/3)-³ ÷ x = (4/27)²

(3/-2)³ ÷ x = (27/4)²

(-3/2)³ ÷ x = (27/4)²

(-3/2)³ ÷ (27/4)² = x

(-3/2)³ × (4/27)² = x

-27/8 × 16/27 = -2/27.

Thank uBey.