Evaluate Using Scientific Notation (4.6510^-1)/(510^5)

$\frac{4.65 \cdot 10^{- 1}}{5 \cdot 10^{5}}$

Step 1

Divide using scientific notation.

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

$(\frac{4.65}{5}) (\frac{10^{- 1}}{10^{5}})$

Divide $4.65$ by $5$ .

$0.93 \frac{10^{- 1}}{10^{5}}$

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

$0.93 \cdot 10^{- 1 + 5 \cdot - 1}$

Multiply $5$ by $- 1$ .

$0.93 \cdot 10^{- 1 - 5}$

Subtract $5$ from $- 1$ .

$0.93 \cdot 10^{- 6}$

Step 2

Move the decimal point in $0.93$ to the right by $1$ place and decrease the power of $10^{- 6}$ by $1$ .

$9.3 \cdot 10^{- 7}$

Evaluate Using Scientific Notation (4.65*10^-1)/(5*10^5)