Evaluate Using Scientific Notation (1.6410^0)÷2.010^2

$1.64 \cdot 10^{0} \div 2 \cdot 10^{2}$

Divide using scientific notation.

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

$(\frac{1.64}{2}) (\frac{10^{0}}{1}) \cdot 10^{2}$

Divide $1.64$ by $2$ .

$0.82 \frac{10^{0}}{1} \cdot 10^{2}$

Divide $10^{0}$ by $1$ .

$0.82 \cdot 10^{0} \cdot 10^{2}$

Multiply $10^{0}$ by $10^{2}$ by adding the exponents.

Move $10^{2}$ .

$0.82 \cdot (10^{2} \cdot 10^{0})$

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

$0.82 \cdot 10^{2 + 0}$

Add $2$ and $0$ .

$0.82 \cdot 10^{2}$

Write $0.82 \cdot 10^{2}$ in proper scientific notation.

$8.2 \cdot 10^{1}$

Convert $8.2 \cdot 10^{1}$ from scientific notation.

$82$

Evaluate Using Scientific Notation (1.64*10^0)÷2.0*10^2