Finite Math Examples

$7 - \frac{7}{9} \cdot (a x^{- \frac{6}{7}} z^{7})$

Step 1

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

$7 - \frac{7}{9} \cdot (a \frac{1}{x^{\frac{6}{7}}} z^{7})$

Step 2

Combine $a$ and $\frac{1}{x^{\frac{6}{7}}}$ .

$7 - \frac{7}{9} \cdot (\frac{a}{x^{\frac{6}{7}}} z^{7})$

Step 3

Combine $\frac{a}{x^{\frac{6}{7}}}$ and $z^{7}$ .

$7 - \frac{7}{9} \cdot \frac{a z^{7}}{x^{\frac{6}{7}}}$

Step 4

Multiply $\frac{a z^{7}}{x^{\frac{6}{7}}}$ by $\frac{7}{9}$ .

$7 - \frac{a z^{7} \cdot 7}{x^{\frac{6}{7}} \cdot 9}$

Step 5

Move $7$ to the left of $a z^{7}$ .

$7 - \frac{7 \cdot (a z^{7})}{x^{\frac{6}{7}} \cdot 9}$

Step 6

Move $9$ to the left of $x^{\frac{6}{7}}$ .

$7 - \frac{7 a z^{7}}{9 x^{\frac{6}{7}}}$