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Popular >

simplify (4ab^5)^4

Solution

simplify

(4 a b^{5})^{4}

Solution

256 a^{4} b^{20}

Solution steps

(4 a b^{5})^{4}

Apply exponent rule:

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

(4 a b^{5})^{4} = 4^{4} a^{4} (b^{5})^{4}

= 4^{4} a^{4} (b^{5})^{4}

4^{4} = 256

= 256 a^{4} (b^{5})^{4}

Simplify

(b^{5})^{4} : b^{20}

= 256 a^{4} b^{20}

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Frequently Asked Questions (FAQ)

What is (4ab^5)^4 ?
The solution to (4ab^5)^4 is 256a^4b^{20}