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

If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 26 large cakes are needed for the party so \( \frac{26}{16} \) = 1\(\frac{5}{8}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 11 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 11 x 4 = 44 small cakes during that time. 250 small cakes are needed for the party so \( \frac{250}{44} \) = 5\(\frac{15}{22}\) 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 2 + 6 = 8 cooks.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

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

9\( \sqrt{48} \) - 2\( \sqrt{3} \)
9\( \sqrt{16 \times 3} \) - 2\( \sqrt{3} \)
9\( \sqrt{4^2 \times 3} \) - 2\( \sqrt{3} \)
(9)(4)\( \sqrt{3} \) - 2\( \sqrt{3} \)
36\( \sqrt{3} \) - 2\( \sqrt{3} \)

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

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

vans = \( \frac{46}{13} \) = 3\(\frac{7}{13}\)

So, it will take 3 full vans and one partially full van to transport the entire team making a total of 4 vans.