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Popular >

simplify (16x^4y^{12})^{3/4}

Solution

simplify

(16 x^{4} y^{12})^{\frac{3}{4}}

Solution

8 x^{3} y^{9}

Solution steps

(16 x^{4} y^{12})^{\frac{3}{4}}

Apply exponent rule:

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

(16 x^{4} y^{12})^{\frac{3}{4}} = 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

= 1 6^{\frac{3}{4}} (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

1 6^{\frac{3}{4}} = 8

= 8 (x^{4})^{\frac{3}{4}} (y^{12})^{\frac{3}{4}}

Simplify

(x^{4})^{\frac{3}{4}} : x^{3}

= 8 x^{3} (y^{12})^{\frac{3}{4}}

Simplify

(y^{12})^{\frac{3}{4}} : y^{9}

= 8 x^{3} y^{9}

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Frequently Asked Questions (FAQ)

What is (16x^4y^{12})^{3/4} ?
The solution to (16x^4y^{12})^{3/4} is 8x^3y^9