To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-3x² - 8x²
(-3 - 8)x²
-11x²

If the tiger has consumed 70 pounds of food in 5 days that's \( \frac{70}{5} \) = 14 pounds of food per day. The tiger needs to consume 168 - 70 = 98 more pounds of food to reach 168 pounds total. At 14 pounds of food per day that's \( \frac{98}{14} \) = 7 more days.

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 500 meters to kilometers, divide the distance by 1000 to get 0.5km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.5km + 30.2km + 15.100000000000001km
total distance = 45.8km

To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{9} \) ÷ \( \frac{1}{5} \) = \( \frac{3}{9} \) x \( \frac{5}{1} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{9} \) x \( \frac{5}{1} \) = \( \frac{3 x 5}{9 x 1} \) = \( \frac{15}{9} \) = 1\(\frac{2}{3}\)

To raise a term with an exponent to another exponent, retain the base and multiply the exponents: