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Popular >

simplify (5xy^4)^4

Solution

simplify

(5 x y^{4})^{4}

Solution

625 x^{4} y^{16}

Solution steps

(5 x y^{4})^{4}

Apply exponent rule:

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

(5 x y^{4})^{4} = 5^{4} x^{4} (y^{4})^{4}

= 5^{4} x^{4} (y^{4})^{4}

5^{4} = 625

= 625 x^{4} (y^{4})^{4}

Simplify

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

= 625 x^{4} y^{16}

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Frequently Asked Questions (FAQ)

What is (5xy^4)^4 ?
The solution to (5xy^4)^4 is 625x^4y^{16}