Basic Math Examples

$0.05 \cdot (- 2^{2 - 3})$

Step 1

Subtract $3$ from $2$ .

$0.05 \cdot (- 2^{- 1})$

Step 2

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

$0.05 \cdot (- \frac{1}{2})$

Step 3

Cancel the common factor of $0.05$ .

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Step 3.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$0.05 \cdot \frac{- 1}{2}$

Step 3.2

Factor $0.05$ out of $2$ .

$0.05 \cdot \frac{- 1}{0.05 (40)}$

Step 3.3

Cancel the common factor.

$0.05 \cdot \frac{- 1}{0.05 \cdot 40}$

Step 3.4

Rewrite the expression.

$\frac{- 1}{40}$

Step 4

Move the negative in front of the fraction.

$- \frac{1}{40}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{40}$

Decimal Form:

$- 0.025$