Simplify: (xy^3z^4)^4A. x y^3 z^16B. x y^3 z^8C. x^4 y^12 z^16D. x^5 y^7 z^8

Vedrano asked Feb 22, 2023

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Vedrano asked Feb 22, 2023

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18 votes

Given the expression:

$(xy^3z^4)^4_{}$

For this type of problem, you multiply the exponent of each variable by the exponent being raised. In formula:

Let's now simplify the expression.

$(xy^3z^4)^4_{}$
x^((1)(4))y^((3)(4))z^((4)(4))

$\text{ = x}^4y^(12)z^(16)$

Therefore, the answer is letter C.

Monstar answered Feb 28, 2023

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