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Popular >

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

Solution

simplify

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

Solution

9 x^{6} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{3})^{2} (y^{2})^{2}

Simplify

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

= 9 x^{6} (y^{2})^{2}

Simplify

(y^{2})^{2} : y^{4}

= 9 x^{6} y^{4}

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Frequently Asked Questions (FAQ)

What is (3x^3*y^2)^2 ?
The solution to (3x^3*y^2)^2 is 9x^6y^4