Evaluate Using Scientific Notation (4.1610^-5)/(8.010^-4)

$\frac{4.16 \cdot 10^{- 5}}{8 \cdot 10^{- 4}}$

Step 1

Divide using scientific notation.

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

$(\frac{4.16}{8}) (\frac{10^{- 5}}{10^{- 4}})$

Divide $4.16$ by $8$ .

$0.52 \frac{10^{- 5}}{10^{- 4}}$

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

$0.52 \cdot 10^{- 5 - 4 \cdot - 1}$

Multiply $- 4$ by $- 1$ .

$0.52 \cdot 10^{- 5 + 4}$

Add $- 5$ and $4$ .

$0.52 \cdot 10^{- 1}$

Step 2

Move the decimal point in $0.52$ to the right by $1$ place and decrease the power of $10^{- 1}$ by $1$ .

$5.2 \cdot 10^{- 2}$

Evaluate Using Scientific Notation (4.16*10^-5)/(8.0*10^-4)