Evaluate Using Scientific Notation (4.6510^-4)/(3.110^2)

$\frac{4.65 \cdot 10^{- 4}}{3.1 \cdot 10^{2}}$

Step 1

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

$(\frac{4.65}{3.1}) (\frac{10^{- 4}}{10^{2}})$

Step 2

Divide $4.65$ by $3.1$ .

$1.5 \frac{10^{- 4}}{10^{2}}$

Step 3

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

$1.5 \cdot 10^{- 4 + 2 \cdot - 1}$

Step 4

Multiply $2$ by $- 1$ .

$1.5 \cdot 10^{- 4 - 2}$

Step 5

Subtract $2$ from $- 4$ .

$1.5 \cdot 10^{- 6}$

Evaluate Using Scientific Notation (4.65*10^-4)/(3.1*10^2)