Simplify (3.910^-5)/(7.810^-8)

$\frac{(3.9 \cdot 10^{- 5})}{(7.8 \cdot 10^{- 8})}$

Step 1

Divide using scientific notation.

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

$(\frac{3.9}{7.8}) (\frac{10^{- 5}}{10^{- 8}})$

Divide $3.9$ by $7.8$ .

$0.5 \frac{10^{- 5}}{10^{- 8}}$

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

$0.5 \cdot 10^{- 5 - 8 \cdot - 1}$

Multiply $- 8$ by $- 1$ .

$0.5 \cdot 10^{- 5 + 8}$

Add $- 5$ and $8$ .

$0.5 \cdot 10^{3}$

Step 2

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{3}$ by $1$ .

$5 \cdot 10^{2}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$5 \cdot 10^{2}$

Expanded Form:

$500$

Simplify (3.9*10^-5)/(7.8*10^-8)