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:

\( \frac{-c^5}{8c^2} \)
\( \frac{-1}{8} \) c^{(5 - 2)}
-\(\frac{1}{8}\)c³

To simplify a radical, factor out the perfect squares:

\( \sqrt{18} \)
\( \sqrt{9 \times 2} \)
\( \sqrt{3^2 \times 2} \)
3\( \sqrt{2} \)

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.

To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 68 are [1, 2, 4, 17, 34, 68]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{40}{68} \) = \( \frac{\frac{40}{4}}{\frac{68}{4}} \) = \( \frac{10}{17} \)

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

vans = \( \frac{77}{12} \) = 6\(\frac{5}{12}\)

So, it will take 6 full vans and one partially full van to transport the entire team making a total of 7 vans.