Question

Which expression is equivalent to (x2y)3 • x3?A. x5y3B. x6y3C. x9y3D. x18y3

Answer 1

Given:

There are given the expression:

`(x^2y)^3\cdot x^3`

Step-by-step explanation:

To find the simplified expression, we need to multiply the above-given expression.

So,

From the expression:

`(x^2y)^3\cdot x^3=(x^(2*3)y^3)\cdot x^3`

Then,

`\begin{gathered} (x^2y)^3x^3=(x^(2*3)y^3)\cdot x^3 \\ =(x^6y^3)\cdot x^3 \end{gathered}`

Then,

`\begin{gathered} (x^6y^3)\cdot x^3=(x^6\cdot x^3\cdot y^3) \\ (x^(6+3)\cdot y^3) \\ =x^9y^3 \end{gathered}`

Final answer:

Hence, the correct option is C.