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Popular >

simplify (x^{3n}*y^{2m})^2

Solution

simplify

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

Solution

x^{6 n} y^{4 m}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

= x^{6 n} (y^{2 m})^{2}

Simplify

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

= x^{6 n} y^{4 m}

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Frequently Asked Questions (FAQ)

What is (x^{3n}*y^{2m})^2 ?
The solution to (x^{3n}*y^{2m})^2 is x^{6n}y^{4m}