Evaluate Using Scientific Notation (3.810^6)/(9.510^-3)

$\frac{3.8 \cdot 10^{6}}{9.5 \cdot 10^{- 3}}$

Step 1

Divide using scientific notation.

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

$(\frac{3.8}{9.5}) (\frac{10^{6}}{10^{- 3}})$

Divide $3.8$ by $9.5$ .

$0.4 \frac{10^{6}}{10^{- 3}}$

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

$0.4 \cdot 10^{6 - 3 \cdot - 1}$

Multiply $- 3$ by $- 1$ .

$0.4 \cdot 10^{6 + 3}$

Add $6$ and $3$ .

$0.4 \cdot 10^{9}$

Step 2

Move the decimal point in $0.4$ to the right by $1$ place and decrease the power of $10^{9}$ by $1$ .

$4 \cdot 10^{8}$

Evaluate Using Scientific Notation (3.8*10^6)/(9.5*10^-3)