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:

-2y² x 7y⁶
(-2 x 7)y^{(2 + 6)}
-14y⁸

To simplify this fraction, first find the greatest common factor between them. The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{24}{44} \) = \( \frac{\frac{24}{4}}{\frac{44}{4}} \) = \( \frac{6}{11} \)

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:

\( \frac{6x^9}{4x^3} \)
\( \frac{6}{4} \) x^{(9 - 3)}
1\(\frac{1}{2}\)x⁶

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

vans = \( \frac{53}{6} \) = 8\(\frac{5}{6}\)

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

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $100
i = 0.08 x $100

No payments were made so the total amount due is the original amount + the accumulated interest: