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Popular >

simplify (5a^3b)^4

Solution

simplify

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

Solution

625 a^{12} b^{4}

Solution steps

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

Apply exponent rule:

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

(5 a^{3} b)^{4} = 5^{4} (a^{3})^{4} b^{4}

= 5^{4} (a^{3})^{4} b^{4}

5^{4} = 625

= 625 (a^{3})^{4} b^{4}

Simplify

(a^{3})^{4} : a^{12}

= 625 a^{12} b^{4}

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Frequently Asked Questions (FAQ)

What is (5a^3b)^4 ?
The solution to (5a^3b)^4 is 625a^{12}b^4