Evaluate Using Scientific Notation (5.210^7)/(210^-4)

$\frac{5.2 \cdot 10^{7}}{2 \cdot 10^{- 4}}$

Step 1

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

$(\frac{5.2}{2}) (\frac{10^{7}}{10^{- 4}})$

Step 2

Divide $5.2$ by $2$ .

$2.6 \frac{10^{7}}{10^{- 4}}$

Step 3

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

$2.6 \cdot 10^{7 - 4 \cdot - 1}$

Step 4

Multiply $- 4$ by $- 1$ .

$2.6 \cdot 10^{7 + 4}$

Step 5

Add $7$ and $4$ .

$2.6 \cdot 10^{11}$

Evaluate Using Scientific Notation (5.2*10^7)/(2*10^-4)