Basic Math Examples

${(- \frac{9}{7})}^{m} \cdot {(- \frac{9}{7})}^{n}$

Step 1

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

${(- \frac{9}{7})}^{m + n}$

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 $- \frac{9}{7}$ .

${(- 1)}^{m + n} {(\frac{9}{7})}^{m + n}$

Step 2.2

Apply the product rule to $\frac{9}{7}$ .

${(- 1)}^{m + n} \frac{9^{m + n}}{7^{m + n}}$

Step 3

Multiply ${(- 1)}^{m + n} \frac{9^{m + n}}{7^{m + n}}$ .

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Step 3.1

Combine ${(- 1)}^{m + n}$ and $\frac{9^{m + n}}{7^{m + n}}$ .

$\frac{{(- 1)}^{m + n} \cdot 9^{m + n}}{7^{m + n}}$

Step 3.2

Rewrite ${(- 1)}^{m + n} \cdot 9^{m + n}$ as ${(- 1 \cdot 9)}^{m + n}$ .

$\frac{{(- 1 \cdot 9)}^{m + n}}{7^{m + n}}$

Step 3.3

Multiply $- 1$ by $9$ .

$\frac{{(- 9)}^{m + n}}{7^{m + n}}$