Calculus Examples

$- 6 {(2)}^{- 7}$

Step 1

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

$- 6 \frac{1}{2^{7}}$

Step 2

Raise $2$ to the power of $7$ .

$- 6 (\frac{1}{128})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $- 6$ .

$2 (- 3) \frac{1}{128}$

Step 3.2

Factor $2$ out of $128$ .

$2 \cdot - 3 \frac{1}{2 \cdot 64}$

Step 3.3

Cancel the common factor.

$2 \cdot - 3 \frac{1}{2 \cdot 64}$

Step 3.4

Rewrite the expression.

$- 3 (\frac{1}{64})$

Step 4

Combine $- 3$ and $\frac{1}{64}$ .

$\frac{- 3}{64}$

Step 5

Move the negative in front of the fraction.

$- \frac{3}{64}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{64}$

Decimal Form:

$- 0.046875$