Basic Math Examples

\frac{10}{0.01 \cdot 10^{- 6}}

$\frac{10}{0.01 \cdot 10^{- 6}}$

Step 1

Divide using scientific notation.

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Step 1.1

Group coefficients together and exponents together to divide numbers in scientific notation.

(\frac{10}{0.01}) (\frac{1}{10^{- 6}})

$(\frac{10}{0.01}) (\frac{1}{10^{- 6}})$

Step 1.2

Divide

10

$10$ by

0.01

$0.01$ .

1000 \frac{1}{10^{- 6}}

$1000 \frac{1}{10^{- 6}}$

Step 1.3

Move

10^{- 6}

$10^{- 6}$ to the numerator using the negative exponent rule

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

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

1000 \cdot 10^{6}

$1000 \cdot 10^{6}$

1000 \cdot 10^{6}

$1000 \cdot 10^{6}$

Step 2

Move the decimal point in

1000

$1000$ to the left by

3

$3$ places and increase the power of

10^{6}

$10^{6}$ by

3

$3$ .

1 \cdot 10^{9}

$1 \cdot 10^{9}$

Step 3

Multiply

10^{9}

$10^{9}$ by

1

$1$ .

10^{9}

$10^{9}$

Step 4

Raise

10

$10$ to the power of

9

$9$ .

1000000000

$1000000000$