Evaluate Using Scientific Notation (40.510^3)/(610^-5)

$\frac{40.5 \cdot 10^{3}}{6 \cdot 10^{- 5}}$

Step 1

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

$(\frac{40.5}{6}) (\frac{10^{3}}{10^{- 5}})$

Step 2

Divide $40.5$ by $6$ .

$6.75 \frac{10^{3}}{10^{- 5}}$

Step 3

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

$6.75 \cdot 10^{3 - 5 \cdot - 1}$

Step 4

Multiply $- 5$ by $- 1$ .

$6.75 \cdot 10^{3 + 5}$

Step 5

Add $3$ and $5$ .

$6.75 \cdot 10^{8}$

Evaluate Using Scientific Notation (40.5*10^3)/(6*10^-5)