Which expression is equivalent to $(2x^{4}y)^{3}$?

A. $2x^{7}y^{4}$

B. $2x^{7}12y^{3}$

C. $8x^{7}$

D. $8x^{7}12y^{3}$

In this problem, we are tasked with finding the equivalent expression for (2x⁴ʸ)³. We will use the rules of exponents to simplify and determine the final expression.

When you raise a power to another exponent, you multiply the exponents together. In this case, you have (2x⁴ʸ)³, so you multiply each of the exponents by 3:

(2³) * (x⁴³) * (y³)

2³ is 8, and when you multiply exponents, you add them together:

8 * x¹² * y³

So, the equivalent expression is 8x⁷y³.

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Which expression is equivalent to \((2x^{4}y)^{3}\)?A. \(2x^{7}y^{4}\)B. \(2x^{7}12y^{3}\)C. \(8x^{7}\)D. \(8x^{7}12y^{3}\)

Answer :

Final Answer:

Explanation:

Other Questions

Which expression is equivalent to \((2x^{4}y)^{3}\)?

A. \(2x^{7}y^{4}\)

B. \(2x^{7}12y^{3}\)

C. \(8x^{7}\)

D. \(8x^{7}12y^{3}\)