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

$(\frac{x^3y^{-2}}{2^2x^{-5}y^3})^3$

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.

$(\frac{x^{3\times3}y^{-2\times3}}{2^{2\times3}x^{-5\times3}y^{3\times3}})$$(\frac{x^9y^{-6}}{2^6x^{-15}y^9})^3$

So, the correct answer is option A.