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Popular >

simplify (2a^2bc^4)^3

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

2^{3} = 8

= 8 (a^{2})^{3} b^{3} (c^{4})^{3}

Simplify

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

= 8 a^{6} b^{3} (c^{4})^{3}

Simplify

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

= 8 a^{6} b^{3} c^{12}

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Frequently Asked Questions (FAQ)

What is (2a^2bc^4)^3 ?
The solution to (2a^2bc^4)^3 is 8a^6b^3c^{12}