To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-7y^8}{7y^3} \)
\( \frac{-7}{7} \) y^{(8 - 3)}
-y⁵

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

vans = \( \frac{61}{11} \) = 5\(\frac{6}{11}\)

So, it will take 5 full vans and one partially full van to transport the entire team making a total of 6 vans.

The factors of a number are all positive integers that divide evenly into the number. The factors of 20 are 1, 2, 4, 5, 10, 20.

If a single cook can bake 4 large cakes per hour and the kitchen is available for 3 hours, a single cook can bake 4 x 3 = 12 large cakes during that time. 27 large cakes are needed for the party so \( \frac{27}{12} \) = 2\(\frac{1}{4}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 16 small cakes per hour and the kitchen is available for 3 hours, a single cook can bake 16 x 3 = 48 small cakes during that time. 210 small cakes are needed for the party so \( \frac{210}{48} \) = 4\(\frac{3}{8}\) 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 3 + 5 = 8 cooks.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.