Evaluate (1.3310^24)/(6.0210^23)

$\frac{1.33 \cdot 10^{24}}{6.02 \cdot 10^{23}}$

Step 1

Divide using scientific notation.

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

$(\frac{1.33}{6.02}) (\frac{10^{24}}{10^{23}})$

Divide $1.33$ by $6.02$ .

$0.22093023 \frac{10^{24}}{10^{23}}$

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

$0.22093023 \cdot 10^{24 + 23 \cdot - 1}$

Multiply $23$ by $- 1$ .

$0.22093023 \cdot 10^{24 - 23}$

Subtract $23$ from $24$ .

$0.22093023 \cdot 10^{1}$

Step 2

Move the decimal point in $0.22093023$ to the right by $1$ place and decrease the power of $10^{1}$ by $1$ .

$2.20930232 \cdot 10^{0}$

Step 3

Convert $2.20930232 \cdot 10^{0}$ from scientific notation.

$2.20930232$

Evaluate (1.33*10^24)/(6.02*10^23)