Finite Math Examples

$(7 c^{- 6} q^{19}) \cdot (- 9 c^{- 20} q^{- 6})$

Step 1

Multiply $c^{- 6}$ by $c^{- 20}$ by adding the exponents.

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Step 1.1

Move $c^{- 20}$ .

$7 (c^{- 20} c^{- 6}) q^{19} \cdot (- 9 q^{- 6})$

Step 1.2

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

$7 c^{- 20 - 6} q^{19} \cdot (- 9 q^{- 6})$

Step 1.3

Subtract $6$ from $- 20$ .

$7 c^{- 26} q^{19} \cdot (- 9 q^{- 6})$

Step 2

Multiply $q^{19}$ by $q^{- 6}$ by adding the exponents.

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Step 2.1

Move $q^{- 6}$ .

$7 c^{- 26} (q^{- 6} q^{19}) \cdot - 9$

Step 2.2

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

$7 c^{- 26} q^{- 6 + 19} \cdot - 9$

Step 2.3

Add $- 6$ and $19$ .

$7 c^{- 26} q^{13} \cdot - 9$

Step 3

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

$7 \frac{1}{c^{26}} q^{13} \cdot - 9$

Step 4

Combine $7$ and $\frac{1}{c^{26}}$ .

$\frac{7}{c^{26}} q^{13} \cdot - 9$

Step 5

Combine $\frac{7}{c^{26}}$ and $q^{13}$ .

$\frac{7 q^{13}}{c^{26}} \cdot - 9$

Step 6

Multiply $\frac{7 q^{13}}{c^{26}} \cdot - 9$ .

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Step 6.1

Combine $\frac{7 q^{13}}{c^{26}}$ and $- 9$ .

$\frac{7 q^{13} \cdot - 9}{c^{26}}$

Step 6.2

Multiply $- 9$ by $7$ .

$\frac{- 63 q^{13}}{c^{26}}$

Step 7

Move the negative in front of the fraction.

$- \frac{63 q^{13}}{c^{26}}$