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Popular >

simplify (5a^4b^2)^3

Solution

simplify

(5 a^{4} b^{2})^{3}

Solution

125 a^{12} b^{6}

Solution steps

(5 a^{4} b^{2})^{3}

Apply exponent rule:

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

(5 a^{4} b^{2})^{3} = 5^{3} (a^{4})^{3} (b^{2})^{3}

= 5^{3} (a^{4})^{3} (b^{2})^{3}

5^{3} = 125

= 125 (a^{4})^{3} (b^{2})^{3}

Simplify

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

= 125 a^{12} (b^{2})^{3}

Simplify

(b^{2})^{3} : b^{6}

= 125 a^{12} b^{6}

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Frequently Asked Questions (FAQ)

What is (5a^4b^2)^3 ?
The solution to (5a^4b^2)^3 is 125a^{12}b^6