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Popular >

simplify (xy^3z^4)^4

Solution

simplify

(x y^{3} z^{4})^{4}

Solution

x^{4} y^{12} z^{16}

Solution steps

(x y^{3} z^{4})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(x y^{3} z^{4})^{4} = x^{4} (y^{3})^{4} (z^{4})^{4}

= x^{4} (y^{3})^{4} (z^{4})^{4}

Simplify

(y^{3})^{4} : y^{12}

= x^{4} y^{12} (z^{4})^{4}

Simplify

(z^{4})^{4} : z^{16}

= x^{4} y^{12} z^{16}

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Frequently Asked Questions (FAQ)

What is (xy^3z^4)^4 ?
The solution to (xy^3z^4)^4 is x^4y^{12}z^{16}