If the tiger has consumed 60 pounds of food in 6 days that's \( \frac{60}{6} \) = 10 pounds of food per day. The tiger needs to consume 100 - 60 = 40 more pounds of food to reach 100 pounds total. At 10 pounds of food per day that's \( \frac{40}{10} \) = 4 more days.

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{77}{16} \) = 4\(\frac{13}{16}\)

So, it will take 4 full vans and one partially full van to transport the entire team making a total of 5 vans.

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).

If a single cook can bake 2 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 2 x 4 = 8 large cakes during that time. 28 large cakes are needed for the party so \( \frac{28}{8} \) = 3\(\frac{1}{2}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 19 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 19 x 4 = 76 small cakes during that time. 340 small cakes are needed for the party so \( \frac{340}{76} \) = 4\(\frac{9}{19}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 4 + 5 = 9 cooks.

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