Evaluate Using Scientific Notation (6.510^4)/(510^6)

$\frac{6.5 \cdot 10^{4}}{5 \cdot 10^{6}}$

Step 1

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

$(\frac{6.5}{5}) (\frac{10^{4}}{10^{6}})$

Step 2

Divide $6.5$ by $5$ .

$1.3 \frac{10^{4}}{10^{6}}$

Step 3

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

$1.3 \cdot 10^{4 + 6 \cdot - 1}$

Step 4

Multiply $6$ by $- 1$ .

$1.3 \cdot 10^{4 - 6}$

Step 5

Subtract $6$ from $4$ .

$1.3 \cdot 10^{- 2}$

Evaluate Using Scientific Notation (6.5*10^4)/(5*10^6)