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

-5z⁶ x 9z²
(-5 x 9)z^{(6 + 2)}
-45z⁸

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

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

vans = \( \frac{89}{6} \) = 14\(\frac{5}{6}\)

So, it will take 14 full vans and one partially full van to transport the entire team making a total of 15 vans.

To subtract these radicals together their radicands must be the same:

2\( \sqrt{125} \) - 9\( \sqrt{5} \)
2\( \sqrt{25 \times 5} \) - 9\( \sqrt{5} \)
2\( \sqrt{5^2 \times 5} \) - 9\( \sqrt{5} \)
(2)(5)\( \sqrt{5} \) - 9\( \sqrt{5} \)
10\( \sqrt{5} \) - 9\( \sqrt{5} \)

Now that the radicands are identical, you can subtract them:

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).