Algebra Examples

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

Step 1

Move ${(3 x)}^{- \frac{1}{3}}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $2 y$ .

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

Step 2.2

Apply the product rule to $3 x$ .

$\frac{1}{2^{\frac{1}{4}} y^{\frac{1}{4}} \cdot 3^{\frac{1}{3}} x^{\frac{1}{3}}}$