Evaluate Using Scientific Notation (410^4)/(3.6310^-4)

$\frac{4 \cdot 10^{4}}{3.63 \cdot 10^{- 4}}$

Step 1

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

$(\frac{4}{3.63}) (\frac{10^{4}}{10^{- 4}})$

Step 2

Divide $4$ by $3.63$ .

$1.10192837 \frac{10^{4}}{10^{- 4}}$

Step 3

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

$1.10192837 \cdot 10^{4 - 4 \cdot - 1}$

Step 4

Multiply $- 4$ by $- 1$ .

$1.10192837 \cdot 10^{4 + 4}$

Step 5

Add $4$ and $4$ .

$1.10192837 \cdot 10^{8}$

Evaluate Using Scientific Notation (4*10^4)/(3.63*10^-4)