Basic Math Examples

${(\frac{{0.01}^{- 2}}{100^{- 2}})}^{3}$

Step 1

Move ${0.01}^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{1}{100^{- 2} \cdot {0.01}^{2}})}^{3}$

Step 2

Move $100^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(\frac{100^{2}}{{0.01}^{2}})}^{3}$

Step 3

Raise $100$ to the power of $2$ .

${(\frac{10000}{{0.01}^{2}})}^{3}$

Step 4

Raise $0.01$ to the power of $2$ .

${(\frac{10000}{0.0001})}^{3}$

Step 5

Divide $10000$ by $0.0001$ .

$100000000^{3}$

Step 6

Raise $100000000$ to the power of $3$ .

$1000000000000000000000000$

Step 7

The result can be shown in multiple forms.

Exact Form:

$1000000000000000000000000$

Decimal Form:

$1 \cdot 10^{24}$