Question

Simplify (xy^3z^4)^4

Answer 1

To simplify (xy^3z^4)^4, we need to raise each term inside the parentheses to the power of 4.

Using the exponent rule for raising a power to a power, we can multiply the exponents.

So, (xy^3z^4)^4 = (x^1y^3z^4)^4

Now, we can distribute the exponent 4 to each term inside the parentheses:

(x^1)^4 * (y^3)^4 * (z^4)^4

Simplifying further:

x^4 * y^12 * z^16

Therefore, the simplified form of (xy^3z^4)^4 is x^4y^12z^16.