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Popular >

simplify (3p^3q)^{3/4}

Solution

simplify

(3 p^{3} q)^{\frac{3}{4}}

Solution

3^{\frac{3}{4}} p^{\frac{9}{4}} q^{\frac{3}{4}}

Solution steps

(3 p^{3} q)^{\frac{3}{4}}

Apply exponent rule:

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

(3 p^{3} q)^{\frac{3}{4}} = 3^{\frac{3}{4}} (p^{3})^{\frac{3}{4}} q^{\frac{3}{4}}

= 3^{\frac{3}{4}} (p^{3})^{\frac{3}{4}} q^{\frac{3}{4}}

Simplify

(p^{3})^{\frac{3}{4}} : p^{\frac{9}{4}}

= 3^{\frac{3}{4}} p^{\frac{9}{4}} q^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is (3p^3q)^{3/4} ?
The solution to (3p^3q)^{3/4} is 3^{3/4}p^{9/4}q^{3/4}