Basic Math Examples

$\frac{0.1 \cdot 10^{- 5}}{1 \cdot 10^{- 4}}$

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.

$(\frac{0.1}{1}) (\frac{10^{- 5}}{10^{- 4}})$

Step 1.2

Divide $0.1$ by $1$ .

$0.1 \frac{10^{- 5}}{10^{- 4}}$

Step 1.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$0.1 \cdot 10^{- 5 - 4 \cdot - 1}$

Step 1.4

Multiply $- 4$ by $- 1$ .

$0.1 \cdot 10^{- 5 + 4}$

Step 1.5

Add $- 5$ and $4$ .

$0.1 \cdot 10^{- 1}$

Step 2

Move the decimal point in $0.1$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$1 \cdot 10^{- 2}$

Step 3

Multiply $10^{- 2}$ by $1$ .

$10^{- 2}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Step 5

Raise $10$ to the power of $2$ .

$\frac{1}{100}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{100}$

Decimal Form:

$0.01$