Basic Math Examples

10^{3} \cdot 10^{- 6}

$10^{3} \cdot 10^{- 6}$

Step 1

Multiply

10^{3}

$10^{3}$ by

10^{- 6}

$10^{- 6}$ by adding the exponents.

Tap for more steps...

Step 1.1

Use the power rule

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

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

10^{3 - 6}

$10^{3 - 6}$

Step 1.2

Subtract

6

$6$ from

3

$3$ .

10^{- 3}

$10^{- 3}$

10^{- 3}

$10^{- 3}$

Step 2

Rewrite the expression using the negative exponent rule

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

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

\frac{1}{10^{3}}

$\frac{1}{10^{3}}$

Step 3

Raise

10

$10$ to the power of

3

$3$ .

\frac{1}{1000}

$\frac{1}{1000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{1000}

$\frac{1}{1000}$

Decimal Form:

0.001

$0.001$