Basic Math Examples

$4 \cdot 10^{- 4} \div 8 \cdot 10^{- 2}$

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.

$(\frac{4}{8}) (\frac{10^{- 4}}{1}) \cdot 10^{- 2}$

Step 1.2

Divide $4$ by $8$ .

$0.5 \frac{10^{- 4}}{1} \cdot 10^{- 2}$

Step 1.3

Divide $10^{- 4}$ by $1$ .

$0.5 \cdot 10^{- 4} \cdot 10^{- 2}$

Step 2

Multiply $10^{- 4}$ by $10^{- 2}$ by adding the exponents.

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Step 2.1

Move $10^{- 2}$ .

$0.5 \cdot (10^{- 2} \cdot 10^{- 4})$

Step 2.2

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

$0.5 \cdot 10^{- 2 - 4}$

Step 2.3

Subtract $4$ from $- 2$ .

$0.5 \cdot 10^{- 6}$

Step 3

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{- 6}$ by $1$ .

$5 \cdot 10^{- 7}$