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Popular >

simplify (4ab^2c)^3

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

4^{3} = 64

= 64 a^{3} (b^{2})^{3} c^{3}

Simplify

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

= 64 a^{3} b^{6} c^{3}

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Frequently Asked Questions (FAQ)

What is (4ab^2c)^3 ?
The solution to (4ab^2c)^3 is 64a^3b^6c^3