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Popular >

simplify (x^2y^3)^4

Solution

simplify

(x^{2} y^{3})^{4}

Solution

x^{8} y^{12}

Solution steps

(x^{2} y^{3})^{4}

Apply exponent rule:

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

(x^{2} y^{3})^{4} = (x^{2})^{4} (y^{3})^{4}

= (x^{2})^{4} (y^{3})^{4}

Simplify

(x^{2})^{4} : x^{8}

= x^{8} (y^{3})^{4}

Simplify

(y^{3})^{4} : y^{12}

= x^{8} y^{12}

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Frequently Asked Questions (FAQ)

What is (x^2y^3)^4 ?
The solution to (x^2y^3)^4 is x^8y^{12}