Algebra Examples

${(- 2)}^{- 3} (- 24)$

Step 1

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

$\frac{1}{{(- 2)}^{3}} \cdot - 24$

Step 2

Raise $- 2$ to the power of $3$ .

$\frac{1}{- 8} \cdot - 24$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Factor $8$ out of $- 8$ .

$\frac{1}{8 (- 1)} \cdot - 24$

Step 3.2

Factor $8$ out of $- 24$ .

$\frac{1}{8 \cdot - 1} \cdot (8 \cdot - 3)$

Step 3.3

Cancel the common factor.

$\frac{1}{8 \cdot - 1} \cdot (8 \cdot - 3)$

Step 3.4

Rewrite the expression.

$\frac{1}{- 1} \cdot - 3$

Step 4

Combine $\frac{1}{- 1}$ and $- 3$ .

$\frac{- 3}{- 1}$

Step 5

Divide $- 3$ by $- 1$ .

$3$