Calculus Examples

$100 {(8)}^{- 2}$

Step 1

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

$100 \frac{1}{8^{2}}$

Step 2

Raise $8$ to the power of $2$ .

$100 (\frac{1}{64})$

Step 3

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1

Factor $4$ out of $100$ .

$4 (25) \frac{1}{64}$

Step 3.2

Factor $4$ out of $64$ .

$4 \cdot 25 \frac{1}{4 \cdot 16}$

Step 3.3

Cancel the common factor.

$4 \cdot 25 \frac{1}{4 \cdot 16}$

Step 3.4

Rewrite the expression.

$25 (\frac{1}{16})$

Step 4

Combine $25$ and $\frac{1}{16}$ .

$\frac{25}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$