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Popular >

simplify (3ab^4)^4

Solution

simplify

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

Solution

81 a^{4} b^{16}

Solution steps

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

Apply exponent rule:

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

(3 a b^{4})^{4} = 3^{4} a^{4} (b^{4})^{4}

= 3^{4} a^{4} (b^{4})^{4}

3^{4} = 81

= 81 a^{4} (b^{4})^{4}

Simplify

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

= 81 a^{4} b^{16}

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Frequently Asked Questions (FAQ)

What is (3ab^4)^4 ?
The solution to (3ab^4)^4 is 81a^4b^{16}