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.