Evaluate Using Scientific Notation (3.110^4)/(4.6810^7)

$\frac{3.1 \cdot 10^{4}}{4.68 \cdot 10^{7}}$

Divide using scientific notation.

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

$(\frac{3.1}{4.68}) (\frac{10^{4}}{10^{7}})$

Divide $3.1$ by $4.68$ .

$0.6\overline{623931} \frac{10^{4}}{10^{7}}$

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

$0.6\overline{623931} \cdot 10^{4 + 7 \cdot - 1}$

Multiply $7$ by $- 1$ .

$0.6\overline{623931} \cdot 10^{4 - 7}$

Subtract $7$ from $4$ .

$0.6\overline{623931} \cdot 10^{- 3}$

Write $0.6\overline{623931} \cdot 10^{- 3}$ in proper scientific notation.

$6.\overline{623931} \cdot 10^{- 4}$

Evaluate Using Scientific Notation (3.1*10^4)/(4.68*10^7)