Calculus Examples

$- 48 {(8 (\frac{1}{8}) - 3)}^{- 3}$

Step 1

Cancel the common factor of $8$ .

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Step 1.1

Cancel the common factor.

$- 48 {(8 (\frac{1}{8}) - 3)}^{- 3}$

Step 1.2

Rewrite the expression.

$- 48 {(1 - 3)}^{- 3}$

Step 2

Subtract $3$ from $1$ .

$- 48 {(- 2)}^{- 3}$

Step 3

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

$- 48 \frac{1}{{(- 2)}^{3}}$

Step 4

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

$- 48 (\frac{1}{- 8})$

Step 5

Cancel the common factor of $8$ .

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Step 5.1

Factor $8$ out of $- 48$ .

$8 (- 6) \frac{1}{- 8}$

Step 5.2

Factor $8$ out of $- 8$ .

$8 \cdot - 6 \frac{1}{8 \cdot - 1}$

Step 5.3

Cancel the common factor.

$8 \cdot - 6 \frac{1}{8 \cdot - 1}$

Step 5.4

Rewrite the expression.

$- 6 (\frac{1}{- 1})$

Step 6

Combine $- 6$ and $\frac{1}{- 1}$ .

$\frac{- 6}{- 1}$

Step 7

Divide $- 6$ by $- 1$ .

$6$