Question

Answer. it fast please​

Answer 1

`((3)/(4))^3 * ((2)/(3))^2 = (3)/(16)`

Explanation:

Given

`((3)/(4))^3 * ((2)/(3))^2`

Required

Solve:

`((3)/(4))^3 * ((2)/(3))^2`

Apply law of indices

`((3)/(4))^3 * ((2)/(3))^2 = (3^3)/(4^3) * (2^2)/(3^2)`

Express 4 as 2^2

`((3)/(4))^3 * ((2)/(3))^2 = (3^3)/((2^2)^3) * (2^2)/(3^2)`

`((3)/(4))^3 * ((2)/(3))^2 = (3^3)/(2^6) * (2^2)/(3^2)`

Express as a singe fraction

`((3)/(4))^3 * ((2)/(3))^2 = (3^3*2^2)/(2^6*3^2)`

Apply law of indices:

`((3)/(4))^3 * ((2)/(3))^2 = (3^(3-2))/(2^(6-2))`

`((3)/(4))^3 * ((2)/(3))^2 = (3^1)/(2^4)`

`((3)/(4))^3 * ((2)/(3))^2 = (3)/(16)`