To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

-1b⁴ - 3b⁴
(-1 - 3)b⁴
-4b⁴

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

vans = \( \frac{86}{10} \) = 8\(\frac{3}{5}\)

So, it will take 8 full vans and one partially full van to transport the entire team making a total of 9 vans.

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

3\( \sqrt{75} \) - 7\( \sqrt{3} \)
3\( \sqrt{25 \times 3} \) - 7\( \sqrt{3} \)
3\( \sqrt{5^2 \times 3} \) - 7\( \sqrt{3} \)
(3)(5)\( \sqrt{3} \) - 7\( \sqrt{3} \)
15\( \sqrt{3} \) - 7\( \sqrt{3} \)

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

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

A ratio of 4:1 means that there are 4 home fans for every one visiting fan. So, of every 5 fans, 4 are home fans and \( \frac{4}{5} \) of every fan in the stadium is a home fan:

32,000 fans x \( \frac{4}{5} \) = \( \frac{128000}{5} \) = 25,600 fans.