Calculus Examples

$\frac{4^{- 1} - 1}{- 1}$

Step 1

Move the negative one from the denominator of $\frac{4^{- 1} - 1}{- 1}$ .

$- 1 \cdot (4^{- 1} - 1)$

Step 2

Rewrite $- 1 \cdot (4^{- 1} - 1)$ as $- (4^{- 1} - 1)$ .

$- (4^{- 1} - 1)$

Step 3

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

$- (\frac{1}{4} - 1)$

Step 4

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- (\frac{1}{4} - 1 \cdot \frac{4}{4})$

Step 5

Combine $- 1$ and $\frac{4}{4}$ .

$- (\frac{1}{4} + \frac{- 1 \cdot 4}{4})$

Step 6

Combine the numerators over the common denominator.

$- \frac{1 - 1 \cdot 4}{4}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $- 1$ by $4$ .

$- \frac{1 - 4}{4}$

Step 7.2

Subtract $4$ from $1$ .

$- \frac{- 3}{4}$

Step 8

Move the negative in front of the fraction.

$- - \frac{3}{4}$

Step 9

Multiply $- - \frac{3}{4}$ .

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Step 9.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{3}{4})$

Step 9.2

Multiply $\frac{3}{4}$ by $1$ .

$\frac{3}{4}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$