Evaluate Using Scientific Notation (1.0910^12)÷2.1810^10

$1.09 \cdot 10^{12} \div 2.18 \cdot 10^{10}$

Step 1

Divide using scientific notation.

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

$(\frac{1.09}{2.18}) (\frac{10^{12}}{1}) \cdot 10^{10}$

Divide $1.09$ by $2.18$ .

$0.5 \frac{10^{12}}{1} \cdot 10^{10}$

Divide $10^{12}$ by $1$ .

$0.5 \cdot 10^{12} \cdot 10^{10}$

Step 2

Multiply $10^{12}$ by $10^{10}$ by adding the exponents.

Move $10^{10}$ .

$0.5 \cdot (10^{10} \cdot 10^{12})$

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

$0.5 \cdot 10^{10 + 12}$

Add $10$ and $12$ .

$0.5 \cdot 10^{22}$

Step 3

Move the decimal point in $0.5$ to the right by $1$ place and decrease the power of $10^{22}$ by $1$ .

$5 \cdot 10^{21}$

Evaluate Using Scientific Notation (1.09*10^12)÷2.18*10^10