Answered

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

Sagot :

Given:

There are given the expression:

[tex](x^2y)^3\cdot x^3[/tex]

Explanation:

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

So,

From the expression:

[tex](x^2y)^3\cdot x^3=(x^{2\times3}y^3)\cdot x^3[/tex]

Then,

[tex]\begin{gathered} (x^2y)^3x^3=(x^{2\times3}y^3)\cdot x^3 \\ =(x^6y^3)\cdot x^3 \end{gathered}[/tex]

Then,

[tex]\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}[/tex]

Final answer:

Hence, the correct option is C.

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