Evaluate Using Scientific Notation (910^-5)/(9.2410^-6)

$\frac{9 \cdot 10^{- 5}}{9.24 \cdot 10^{- 6}}$

Step 1

Divide using scientific notation.

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

$(\frac{9}{9.24}) (\frac{10^{- 5}}{10^{- 6}})$

Divide $9$ by $9.24$ .

$0.\overline{974025} \frac{10^{- 5}}{10^{- 6}}$

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

$0.\overline{974025} \cdot 10^{- 5 - 6 \cdot - 1}$

Multiply $- 6$ by $- 1$ .

$0.\overline{974025} \cdot 10^{- 5 + 6}$

Add $- 5$ and $6$ .

$0.\overline{974025} \cdot 10^{1}$

Step 2

Move the decimal point in $0.\overline{974025}$ to the right by $1$ place and decrease the power of $10^{1}$ by $1$ .

$9.\overline{740259} \cdot 10^{0}$

Step 3

Convert $9.\overline{740259} \cdot 10^{0}$ from scientific notation.

$9.\overline{740259}$

Evaluate Using Scientific Notation (9*10^-5)/(9.24*10^-6)