Basic Math Examples

- 20000 {(200)}^{- 2}

$- 20000 {(200)}^{- 2}$

Step 1

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

- 20000 \frac{1}{200^{2}}

$- 20000 \frac{1}{200^{2}}$

Step 2

Raise

200

$200$ to the power of

2

$2$ .

- 20000 (\frac{1}{40000})

$- 20000 (\frac{1}{40000})$

Step 3

Cancel the common factor of

20000

$20000$ .

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Step 3.1

Factor

20000

$20000$ out of

- 20000

$- 20000$ .

20000 (- 1) \frac{1}{40000}

$20000 (- 1) \frac{1}{40000}$

Step 3.2

Factor

20000

$20000$ out of

40000

$40000$ .

20000 \cdot - 1 \frac{1}{20000 \cdot 2}

$20000 \cdot - 1 \frac{1}{20000 \cdot 2}$

Step 3.3

Cancel the common factor.

$20000 \cdot - 1 \frac{1}{20000 \cdot 2}$

Step 3.4

Rewrite the expression.

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

Step 4

Rewrite

$- 1 (\frac{1}{2})$ as

$- (\frac{1}{2})$ .

$- \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$