A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

You have 12 out of the total of 400 raffle tickets sold so you have a (\( \frac{12}{400} \)) x 100 = \( \frac{12 \times 100}{400} \) = \( \frac{1200}{400} \) = 3% chance to win the raffle.

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 50.8km + 13.4km
total distance = 64.5km

A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

45,000 fans x \( \frac{4}{5} \) = \( \frac{180000}{5} \) = 36,000 fans.

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{12\sqrt{8}}{6\sqrt{2}} \)
\( \frac{12}{6} \) \( \sqrt{\frac{8}{2}} \)
2 \( \sqrt{4} \)