Basic Math Examples

${(5 z y)}^{- \frac{4}{7}}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(5 z y)}^{\frac{4}{7}}}$

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to $5 z y$ .

$\frac{1}{{(5 z)}^{\frac{4}{7}} y^{\frac{4}{7}}}$

Step 2.2

Apply the product rule to $5 z$ .

$\frac{1}{5^{\frac{4}{7}} z^{\frac{4}{7}} y^{\frac{4}{7}}}$