Question

(3x^2 y^-3)^3The simplified expression is

Answer 1

The expression is given below as

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

Step 1:

Apply the exponent rule below

`(a.b)^n=a^n.b^n`

By applying the exponent rule, we will have

`\begin{gathered} (3x^2y^(-3))^3 \\ =3^3* x^(2*3)* y^(-3*3) \\ =27x^6* y^(-9) \\ \text{note:} \\ y^(-9)=(1)/(y^9) \\ =27x^6* y^(-9) \\ =(27x^6)/(y^9) \end{gathered}`

Hence,

The simplified expression will be

`(27x^6)/(y^9)`