Finite Math Examples

${(- 1)}^{3} \cdot {({(- 1)}^{2})}^{6}$

Step 1

Raise $- 1$ to the power of $3$ .

$- 1 \cdot {({(- 1)}^{2})}^{6}$

Step 2

Multiply the exponents in ${({(- 1)}^{2})}^{6}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- 1 \cdot {(- 1)}^{2 \cdot 6}$

Step 2.2

Multiply $2$ by $6$ .

$- 1 \cdot {(- 1)}^{12}$

Step 3

Multiply $- 1$ by ${(- 1)}^{12}$ by adding the exponents.

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Step 3.1

Multiply $- 1$ by ${(- 1)}^{12}$ .

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Step 3.1.1

Raise $- 1$ to the power of $1$ .

${(- 1)}^{1} \cdot {(- 1)}^{12}$

Step 3.1.2

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

${(- 1)}^{1 + 12}$

Step 3.2

Add $1$ and $12$ .

${(- 1)}^{13}$

Step 4

Raise $- 1$ to the power of $13$ .

$- 1$