Question

Check Consider the expression. 3 3-2 X Y What is the result of applying the quotient of powers rule to the expression? xºy 20 x 15 y -5,3 ly 2²x² --) o 1x8 22; (27,0,0) O Intro Done

Answer 1

The given expression is

`((x^3y^(-2))/(2^2x^(-5)y^3))^3`

we know that the power of an exponent function can be solved as

`(x^y)^z=x^(yz)`

so, exponent 3 will be multiplied with the exponents of the variables in the bracket too.

`((x^(3*3)y^(-2*3))/(2^(2*3)x^(-5*3)y^(3*3)))`
`((x^9y^(-6))/(2^6x^(-15)y^9))^3`

So, the correct answer is option A.