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Popular >

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

Solution

simplify

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

Solution

27 a^{9} b^{6}

Solution steps

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

Apply exponent rule:

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

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

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

3^{3} = 27

= 27 (a^{3})^{3} (b^{2})^{3}

Simplify

(a^{3})^{3} : a^{9}

= 27 a^{9} (b^{2})^{3}

Simplify

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

= 27 a^{9} b^{6}

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Frequently Asked Questions (FAQ)

What is (3a^3b^2)^3 ?
The solution to (3a^3b^2)^3 is 27a^9b^6