Basic Math Examples

$5 \cdot 10^{- 5} \div 2 \cdot 10^{- 2}$

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.

$(\frac{5}{2}) (\frac{10^{- 5}}{1}) \cdot 10^{- 2}$

Step 1.2

Divide $5$ by $2$ .

$2.5 \frac{10^{- 5}}{1} \cdot 10^{- 2}$

Step 1.3

Divide $10^{- 5}$ by $1$ .

$2.5 \cdot 10^{- 5} \cdot 10^{- 2}$

Step 2

Multiply $10^{- 5}$ by $10^{- 2}$ by adding the exponents.

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Step 2.1

Move $10^{- 2}$ .

$2.5 \cdot (10^{- 2} \cdot 10^{- 5})$

Step 2.2

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

$2.5 \cdot 10^{- 2 - 5}$

Step 2.3

Subtract $5$ from $- 2$ .

$2.5 \cdot 10^{- 7}$