Basic Math Examples

${(0.01)}^{3} \cdot 10^{5}$

Step 1

Raise $0.01$ to the power of $3$ .

$0.000001 \cdot 10^{5}$

Step 2

Move the decimal point in $0.000001$ to the right by $6$ places and decrease the power of $10^{5}$ by $6$ .

$1 \cdot 10^{- 1}$

Step 3

Multiply $10^{- 1}$ by $1$ .

$10^{- 1}$

Step 4

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

$\frac{1}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$