Basic Math Examples

$\frac{1}{0.1 \cdot 10^{- 6}}$

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.

$(\frac{1}{0.1}) (\frac{1}{10^{- 6}})$

Step 1.2

Divide $1$ by $0.1$ .

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

Step 1.3

Move $10^{- 6}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$10 \cdot 10^{6}$

Step 2

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

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Step 2.1

Multiply $10$ by $10^{6}$ .

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Step 2.1.1

Raise $10$ to the power of $1$ .

$10^{1} \cdot 10^{6}$

Step 2.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$10^{1 + 6}$

Step 2.2

Add $1$ and $6$ .

$10^{7}$

Step 3

Raise $10$ to the power of $7$ .

$10000000$