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Popular >

simplify (ab^2c^3)^{3/4}

Solution

simplify

(a b^{2} c^{3})^{\frac{3}{4}}

Solution

a^{\frac{3}{4}} b^{\frac{3}{2}} c^{\frac{9}{4}}

Solution steps

(a b^{2} c^{3})^{\frac{3}{4}}

Apply exponent rule:

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

(a b^{2} c^{3})^{\frac{3}{4}} = a^{\frac{3}{4}} (b^{2})^{\frac{3}{4}} (c^{3})^{\frac{3}{4}}

= a^{\frac{3}{4}} (b^{2})^{\frac{3}{4}} (c^{3})^{\frac{3}{4}}

Simplify

(b^{2})^{\frac{3}{4}} : b^{\frac{3}{2}}

= a^{\frac{3}{4}} b^{\frac{3}{2}} (c^{3})^{\frac{3}{4}}

Simplify

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

= a^{\frac{3}{4}} b^{\frac{3}{2}} c^{\frac{9}{4}}

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Frequently Asked Questions (FAQ)

What is (ab^2c^3)^{3/4} ?
The solution to (ab^2c^3)^{3/4} is a^{3/4}b^{3/2}c^{9/4}