Evaluate (1.6010^-6)/(2.010^-4)

$\frac{1.6 \cdot 10^{- 6}}{2 \cdot 10^{- 4}}$

Step 1

Divide using scientific notation.

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

$(\frac{1.6}{2}) (\frac{10^{- 6}}{10^{- 4}})$

Divide $1.6$ by $2$ .

$0.8 \frac{10^{- 6}}{10^{- 4}}$

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

$0.8 \cdot 10^{- 6 - 4 \cdot - 1}$

Multiply $- 4$ by $- 1$ .

$0.8 \cdot 10^{- 6 + 4}$

Add $- 6$ and $4$ .

$0.8 \cdot 10^{- 2}$

Step 2

Move the decimal point in $0.8$ to the right by $1$ place and decrease the power of $10^{- 2}$ by $1$ .

$8 \cdot 10^{- 3}$

Step 3

The result can be shown in multiple forms.

Scientific Notation:

$8 \cdot 10^{- 3}$

Expanded Form:

$0.008$

Evaluate (1.60*10^-6)/(2.0*10^-4)