Evaluate Using Scientific Notation (3.810^-5)÷8.110^3

$3.8 \cdot 10^{- 5} \div 8.1 \cdot 10^{3}$

Step 1

Divide using scientific notation.

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

$(\frac{3.8}{8.1}) (\frac{10^{- 5}}{1}) \cdot 10^{3}$

Divide $3.8$ by $8.1$ .

$0.4691358 \frac{10^{- 5}}{1} \cdot 10^{3}$

Divide $10^{- 5}$ by $1$ .

$0.4691358 \cdot 10^{- 5} \cdot 10^{3}$

Step 2

Multiply $10^{- 5}$ by $10^{3}$ by adding the exponents.

Move $10^{3}$ .

$0.4691358 \cdot (10^{3} \cdot 10^{- 5})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$0.4691358 \cdot 10^{3 - 5}$

Subtract $5$ from $3$ .

$0.4691358 \cdot 10^{- 2}$

Step 3

Move the decimal point in $0.4691358$ to the right by $1$ place and decrease the power of $10^{- 2}$ by $1$ .

$4.69135802 \cdot 10^{- 3}$

Evaluate Using Scientific Notation (3.8*10^-5)÷8.1*10^3