Basic Math Examples

$\frac{2 \cdot 10^{2}}{5 \cdot 10^{7}}$

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.

$(\frac{2}{5}) (\frac{10^{2}}{10^{7}})$

Step 1.2

Divide $2$ by $5$ .

$0.4 \frac{10^{2}}{10^{7}}$

Step 1.3

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

$0.4 \cdot 10^{2 + 7 \cdot - 1}$

Step 1.4

Multiply $7$ by $- 1$ .

$0.4 \cdot 10^{2 - 7}$

Step 1.5

Subtract $7$ from $2$ .

$0.4 \cdot 10^{- 5}$

Step 2

Move the decimal point in $0.4$ to the right by $1$ place and decrease the power of $10^{- 5}$ by $1$ .

$4 \cdot 10^{- 6}$