Question

By what number should (-2/3)ki power -3 be divided so that the quotient is (9/8) ki power -2 ?​

Answer 1

Answer:

-2187/512

Step-by-step explanation:

Let the number be x.

According to Question,

(-2/3)^-3 ÷ x = (9/8)^-2

=> (-3/2)^3 ÷ x = (8/9)^2

=> -27/8 ÷ x = 64/81

=> -27/8 × 81/64 = x

=> x = -2187/512

Answer 2

Answer:

(-2/3)^-3 ÷x = (9/8)^-2

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

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

=(81/64)/(-8/27)

=(81/64)×(-27/8)

=- 81×27/(64×8)= - 2187/512