Calculus Examples

$200 {(4)}^{- 2}$

Step 1

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

$200 \frac{1}{4^{2}}$

Step 2

Raise $4$ to the power of $2$ .

$200 (\frac{1}{16})$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Factor $8$ out of $200$ .

$8 (25) \frac{1}{16}$

Step 3.2

Factor $8$ out of $16$ .

$8 \cdot 25 \frac{1}{8 \cdot 2}$

Step 3.3

Cancel the common factor.

$8 \cdot 25 \frac{1}{8 \cdot 2}$

Step 3.4

Rewrite the expression.

$25 (\frac{1}{2})$

Step 4

Combine $25$ and $\frac{1}{2}$ .

$\frac{25}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{2}$

Decimal Form:

$12.5$

Mixed Number Form:

$12 \frac{1}{2}$