Question

{81/16}^-3/4×{25/9}^-3/2​

Answer 1

Answer:

Step-by-step explanation:

It can be written as

(81/16) ^-3/4×(25/9) ^-3/2

(3^4/2^4) ^-3/4×(5^2/3^2) ^-3/2

Taking the powers of 2 and 3 common then the 4 and 4 will get cancelled and like taking the powers of 5 and 3 that is 2 and 2 will get cancelled then the equation becomes

(3/2) ^-3×(5/3) ^-3

It can be written as

(2/3) ^3×(3/5) ^3

(8/81) ×(81/125)

81 and 1/81 get cancelled then the answer will become (8/125)