Finite Math Examples

$\frac{x^{\frac{4}{7}}}{x^{\frac{8}{7}}}$

Step 1

Move $x^{\frac{4}{7}}$ to the denominator using the negative exponent rule $b^{n} = \frac{1}{b^{- n}}$ .

$\frac{1}{x^{\frac{8}{7}} x^{- \frac{4}{7}}}$

Step 2

Multiply $x^{\frac{8}{7}}$ by $x^{- \frac{4}{7}}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{1}{x^{\frac{8}{7} - \frac{4}{7}}}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{1}{x^{\frac{8 - 4}{7}}}$

Step 2.3

Subtract $4$ from $8$ .

$\frac{1}{x^{\frac{4}{7}}}$