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Popular >

simplify (3x^{1/2}y^2)^4

Solution

simplify

(3 x^{\frac{1}{2}} y^{2})^{4}

Solution

81 x^{2} y^{8}

Solution steps

(3 x^{\frac{1}{2}} y^{2})^{4}

Apply exponent rule:

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

(3 x^{\frac{1}{2}} y^{2})^{4} = 3^{4} (x^{\frac{1}{2}})^{4} (y^{2})^{4}

= 3^{4} (x^{\frac{1}{2}})^{4} (y^{2})^{4}

3^{4} = 81

= 81 (x^{\frac{1}{2}})^{4} (y^{2})^{4}

Simplify

(x^{\frac{1}{2}})^{4} : x^{2}

= 81 x^{2} (y^{2})^{4}

Simplify

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

= 81 x^{2} y^{8}

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Frequently Asked Questions (FAQ)

What is (3x^{1/2}y^2)^4 ?
The solution to (3x^{1/2}y^2)^4 is 81x^2y^8