Evaluate Using Scientific Notation (1.110^9)/(9.110^1)

$\frac{1.1 \cdot 10^{9}}{9.1 \cdot 10^{1}}$

Step 1

Divide using scientific notation.

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

$(\frac{1.1}{9.1}) (\frac{10^{9}}{10^{1}})$

Divide $1.1$ by $9.1$ .

$0.\overline{120879} \frac{10^{9}}{10^{1}}$

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

$0.\overline{120879} \cdot 10^{9 + 1 \cdot - 1}$

Multiply $- 1$ by $1$ .

$0.\overline{120879} \cdot 10^{9 - 1}$

Subtract $1$ from $9$ .

$0.\overline{120879} \cdot 10^{8}$

Step 2

Move the decimal point in $0.\overline{120879}$ to the right by $1$ place and decrease the power of $10^{8}$ by $1$ .

$1.\overline{208791} \cdot 10^{7}$

Evaluate Using Scientific Notation (1.1*10^9)/(9.1*10^1)