Question

by what number should (-2/3)^3 be divided so that the the quotient may be equal to (9/4)^-2

Answer 1

Answer:

x = - 3/2

Step-by-step explanation:

Let the no. be x by which the given number be divided

{(- 2/3)^3}/x=(9/4)^-2

= {(- 8/27)} / x=(16/81)

= (- 8/27) = (16/81) * x

x=(- 8/27) * (81/16)

x = (- 1/27) * (81/2)

=  - 81/ 27 * 2

= - 3/2

x = - 3/2

Hence the - 3/2 should be divided with the given number.