Evaluate (410^4)/(210^5)

$\frac{4 \cdot 10^{4}}{2 \cdot 10^{5}}$

Step 1

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

$(\frac{4}{2}) (\frac{10^{4}}{10^{5}})$

Step 2

Divide $4$ by $2$ .

$2 \frac{10^{4}}{10^{5}}$

Step 3

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

$2 \cdot 10^{4 + 5 \cdot - 1}$

Step 4

Multiply $5$ by $- 1$ .

$2 \cdot 10^{4 - 5}$

Step 5

Subtract $5$ from $4$ .

$2 \cdot 10^{- 1}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$2 \cdot 10^{- 1}$

Expanded Form:

$0.2$

Evaluate (4*10^4)/(2*10^5)