Evaluate Using Scientific Notation (2.8510^6)/(3.010^4)

$\frac{2.85 \cdot 10^{6}}{3 \cdot 10^{4}}$

Step 1

Divide using scientific notation.

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

$(\frac{2.85}{3}) (\frac{10^{6}}{10^{4}})$

Divide $2.85$ by $3$ .

$0.95 \frac{10^{6}}{10^{4}}$

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

$0.95 \cdot 10^{6 + 4 \cdot - 1}$

Multiply $4$ by $- 1$ .

$0.95 \cdot 10^{6 - 4}$

Subtract $4$ from $6$ .

$0.95 \cdot 10^{2}$

Step 2

Move the decimal point in $0.95$ to the right by $1$ place and decrease the power of $10^{2}$ by $1$ .

$9.5 \cdot 10^{1}$

Evaluate Using Scientific Notation (2.85*10^6)/(3.0*10^4)