Evaluate Using Scientific Notation (210^10)/(310^8)

$\frac{2 \cdot 10^{10}}{3 \cdot 10^{8}}$

Step 1

Divide using scientific notation.

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

$(\frac{2}{3}) (\frac{10^{10}}{10^{8}})$

Divide $2$ by $3$ .

$0.\overline{6} \frac{10^{10}}{10^{8}}$

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

$0.\overline{6} \cdot 10^{10 + 8 \cdot - 1}$

Multiply $8$ by $- 1$ .

$0.\overline{6} \cdot 10^{10 - 8}$

Subtract $8$ from $10$ .

$0.\overline{6} \cdot 10^{2}$

Step 2

Move the decimal point in $0.\overline{6}$ to the right by $1$ place and decrease the power of $10^{2}$ by $1$ .

$6.\overline{6} \cdot 10^{1}$

Evaluate Using Scientific Notation (2*10^10)/(3*10^8)