Evaluate Using Scientific Notation (1.610^-4)÷(810^3)

$(1.6 \cdot 10^{- 4}) \div (8 \cdot 10^{3})$

Step 1

Divide using scientific notation.

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

$(\frac{1.6}{8}) (\frac{10^{- 4}}{10^{3}})$

Divide $1.6$ by $8$ .

$0.2 \frac{10^{- 4}}{10^{3}}$

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

$0.2 \cdot 10^{- 4 + 3 \cdot - 1}$

Multiply $3$ by $- 1$ .

$0.2 \cdot 10^{- 4 - 3}$

Subtract $3$ from $- 4$ .

$0.2 \cdot 10^{- 7}$

Step 2

Move the decimal point in $0.2$ to the right by $1$ place and decrease the power of $10^{- 7}$ by $1$ .

$2 \cdot 10^{- 8}$

Evaluate Using Scientific Notation (1.6*10^-4)÷(8*10^3)