Question

Answer. it fast please​

Answer 1

`((6)/(10))^3 * ((5)/(9))^2 = (1)/(15)`

Explanation:

Given

`((6)/(10))^3 * ((5)/(9))^2`

Required

Solve:

`((6)/(10))^3 * ((5)/(9))^2`

Simplify 6/10

`((6)/(10))^3 * ((5)/(9))^2 = ((3)/(5))^3 * ((5)/(9))^2`

Express 9 as 3^2

`((6)/(10))^3 * ((5)/(9))^2 = ((3)/(5))^3 * ((5)/(3^2))^2`

Apply law of indices

`((6)/(10))^3 * ((5)/(9))^2 = (3^3)/(5^3)* (5^2)/((3^2)^2)`

`((6)/(10))^3 * ((5)/(9))^2 = (3^3)/(5^3)* (5^2)/(3^4)`

Express as a sing;e fraction

`((6)/(10))^3 * ((5)/(9))^2 = (3^3*5^2)/(5^3*3^4)`

Apply law of indices:

`((6)/(10))^3 * ((5)/(9))^2 = (1)/(5^(3-2)*3^(4-3))`

`((6)/(10))^3 * ((5)/(9))^2 = (1)/(5^1*3^1)`

`((6)/(10))^3 * ((5)/(9))^2 = (1)/(5*3)`

`((6)/(10))^3 * ((5)/(9))^2 = (1)/(15)`