Simplify (10^-15)/(3.9*10^-7)

$\frac{10^{- 15}}{3.9 \cdot 10^{- 7}}$

Step 1

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{1}{3.9}) (\frac{10^{- 15}}{10^{- 7}})$

Divide $1$ by $3.9$ .

$0.\overline{256410} \frac{10^{- 15}}{10^{- 7}}$

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

$0.\overline{256410} \cdot 10^{- 15 - 7 \cdot - 1}$

Multiply $- 7$ by $- 1$ .

$0.\overline{256410} \cdot 10^{- 15 + 7}$

Add $- 15$ and $7$ .

$0.\overline{256410} \cdot 10^{- 8}$

Step 2

Move the decimal point in $0.\overline{256410}$ to the right by $1$ place and decrease the power of $10^{- 8}$ by $1$ .

$2.\overline{564102} \cdot 10^{- 9}$