Basic Math Examples

\frac{10^{- 8}}{10^{2}}

$\frac{10^{- 8}}{10^{2}}$

Step 1

Move

10^{- 8}

$10^{- 8}$ to the denominator using the negative exponent rule

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

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

\frac{1}{10^{2} \cdot 10^{8}}

$\frac{1}{10^{2} \cdot 10^{8}}$

Step 2

Multiply

10^{2}

$10^{2}$ by

10^{8}

$10^{8}$ by adding the exponents.

Tap for more steps...

Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

\frac{1}{10^{2 + 8}}

$\frac{1}{10^{2 + 8}}$

Step 2.2

Add

2

$2$ and

8

$8$ .

\frac{1}{10^{10}}

$\frac{1}{10^{10}}$

\frac{1}{10^{10}}

$\frac{1}{10^{10}}$

Step 3

Raise

10

$10$ to the power of

10

$10$ .

\frac{1}{10000000000}

$\frac{1}{10000000000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{10000000000}

$\frac{1}{10000000000}$

Decimal Form:

1 \cdot 10^{- 10}

$1 \cdot 10^{- 10}$