Evaluate Using Scientific Notation (7.7810^5)/(8.52410^3)

$\frac{7.78 \cdot 10^{5}}{8.524 \cdot 10^{3}}$

Step 1

Divide using scientific notation.

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

$(\frac{7.78}{8.524}) (\frac{10^{5}}{10^{3}})$

Divide $7.78$ by $8.524$ .

$0.91271703 \frac{10^{5}}{10^{3}}$

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

$0.91271703 \cdot 10^{5 + 3 \cdot - 1}$

Multiply $3$ by $- 1$ .

$0.91271703 \cdot 10^{5 - 3}$

Subtract $3$ from $5$ .

$0.91271703 \cdot 10^{2}$

Step 2

Move the decimal point in $0.91271703$ to the right by $1$ place and decrease the power of $10^{2}$ by $1$ .

$9.12717034 \cdot 10^{1}$

Evaluate Using Scientific Notation (7.78*10^5)/(8.524*10^3)