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Popular >

simplify (4u^2v^4)^4

Solution

simplify

(4 u^{2} v^{4})^{4}

Solution

256 u^{8} v^{16}

Solution steps

(4 u^{2} v^{4})^{4}

Apply exponent rule:

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

(4 u^{2} v^{4})^{4} = 4^{4} (u^{2})^{4} (v^{4})^{4}

= 4^{4} (u^{2})^{4} (v^{4})^{4}

4^{4} = 256

= 256 (u^{2})^{4} (v^{4})^{4}

Simplify

(u^{2})^{4} : u^{8}

= 256 u^{8} (v^{4})^{4}

Simplify

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

= 256 u^{8} v^{16}

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Frequently Asked Questions (FAQ)

What is (4u^2v^4)^4 ?
The solution to (4u^2v^4)^4 is 256u^8v^{16}