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Popular >

simplify (3x^2y^2)^3

Solution

simplify

(3 x^{2} y^{2})^{3}

Solution

27 x^{6} y^{6}

Solution steps

(3 x^{2} y^{2})^{3}

Apply exponent rule:

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

(3 x^{2} y^{2})^{3} = 3^{3} (x^{2})^{3} (y^{2})^{3}

= 3^{3} (x^{2})^{3} (y^{2})^{3}

3^{3} = 27

= 27 (x^{2})^{3} (y^{2})^{3}

Simplify

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

= 27 x^{6} (y^{2})^{3}

Simplify

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

= 27 x^{6} y^{6}

Popular Examples

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simplify 1/(1/2+1/6)simplify

\frac{1}{\frac{1}{2} + \frac{1}{6}}

simplify 3/5 (2)^{-8/5}simplify

\frac{3}{5} (2)^{- \frac{8}{5}}

10 - 2 x > 4

(x + 5)^{2} = 4

Frequently Asked Questions (FAQ)

What is (3x^2y^2)^3 ?
The solution to (3x^2y^2)^3 is 27x^6y^6