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

vans = \( \frac{70}{16} \) = 4\(\frac{3}{8}\)

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

The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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).

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [20, 40, 60, 80] making 20 the smallest multiple 4 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{6 x 5}{4 x 5} \) + \( \frac{9 x 2}{10 x 2} \)

\( \frac{30}{20} \) + \( \frac{18}{20} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{30 + 18}{20} \) = \( \frac{48}{20} \) = 2\(\frac{2}{5}\)

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

\( \frac{14\sqrt{40}}{2\sqrt{8}} \)
\( \frac{14}{2} \) \( \sqrt{\frac{40}{8}} \)
7 \( \sqrt{5} \)