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Popular >

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

Solution

simplify

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

Solution

a^{6} b^{12} c^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

= a^{6} (b^{4})^{3} c^{3}

Simplify

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

= a^{6} b^{12} c^{3}

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Frequently Asked Questions (FAQ)

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