Evaluate Using Scientific Notation (8.1910^11)÷5.9610^5

$8.19 \cdot 10^{11} \div 5.96 \cdot 10^{5}$

Step 1

Divide using scientific notation.

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

$(\frac{8.19}{5.96}) (\frac{10^{11}}{1}) \cdot 10^{5}$

Divide $8.19$ by $5.96$ .

$1.37416107 \frac{10^{11}}{1} \cdot 10^{5}$

Divide $10^{11}$ by $1$ .

$1.37416107 \cdot 10^{11} \cdot 10^{5}$

Step 2

Multiply $10^{11}$ by $10^{5}$ by adding the exponents.

Move $10^{5}$ .

$1.37416107 \cdot (10^{5} \cdot 10^{11})$

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

$1.37416107 \cdot 10^{5 + 11}$

Add $5$ and $11$ .

$1.37416107 \cdot 10^{16}$

Evaluate Using Scientific Notation (8.19*10^11)÷5.96*10^5