Question

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

Answer 1

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:

$(x^ay^b)^c=x^{ac}y^{bc}$

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.