Evaluate Using Scientific Notation (2.6410^-3)/(8.010^0)

$\frac{2.64 \cdot 10^{- 3}}{8 \cdot 10^{0}}$

Step 1

Divide using scientific notation.

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

$(\frac{2.64}{8}) (\frac{10^{- 3}}{10^{0}})$

Divide $2.64$ by $8$ .

$0.33 \frac{10^{- 3}}{10^{0}}$

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

$0.33 \cdot 10^{- 3 + 0 \cdot - 1}$

Multiply $0$ by $- 1$ .

$0.33 \cdot 10^{- 3 + 0}$

Add $- 3$ and $0$ .

$0.33 \cdot 10^{- 3}$

Step 2

Move the decimal point in $0.33$ to the right by $1$ place and decrease the power of $10^{- 3}$ by $1$ .

$3.3 \cdot 10^{- 4}$

Evaluate Using Scientific Notation (2.64*10^-3)/(8.0*10^0)