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Popular >

simplify (2a^2b)^4

Solution

simplify

(2 a^{2} b)^{4}

Solution

16 a^{8} b^{4}

Solution steps

(2 a^{2} b)^{4}

Apply exponent rule:

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

(2 a^{2} b)^{4} = 2^{4} (a^{2})^{4} b^{4}

= 2^{4} (a^{2})^{4} b^{4}

2^{4} = 16

= 16 (a^{2})^{4} b^{4}

Simplify

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

= 16 a^{8} b^{4}

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Frequently Asked Questions (FAQ)

What is (2a^2b)^4 ?
The solution to (2a^2b)^4 is 16a^8b^4