Evaluate Using Scientific Notation (2.710^-8)/(910^-4)

$\frac{2.7 \cdot 10^{- 8}}{9 \cdot 10^{- 4}}$

Step 1

Divide using scientific notation.

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

$(\frac{2.7}{9}) (\frac{10^{- 8}}{10^{- 4}})$

Divide $2.7$ by $9$ .

$0.3 \frac{10^{- 8}}{10^{- 4}}$

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

$0.3 \cdot 10^{- 8 - 4 \cdot - 1}$

Multiply $- 4$ by $- 1$ .

$0.3 \cdot 10^{- 8 + 4}$

Add $- 8$ and $4$ .

$0.3 \cdot 10^{- 4}$

Step 2

Move the decimal point in $0.3$ to the right by $1$ place and decrease the power of $10^{- 4}$ by $1$ .

$3 \cdot 10^{- 5}$

Evaluate Using Scientific Notation (2.7*10^-8)/(9*10^-4)