Jennifer scored 80% on the test meaning she earned 80% of the possible points on the test. There were 60 possible points on the test so she earned 60 x 0.8 = 48 points. Each question is worth 2 points so she got \( \frac{48}{2} \) = 24 questions right.

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:

4z⁶ x 7z⁶
(4 x 7)z^{(6 + 6)}
28z¹²

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.

If 78% of the town's 11,000 voters cast ballots the number of votes cast is:

(\( \frac{78}{100} \)) x 11,000 = \( \frac{858,000}{100} \) = 8,580

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 8,580 = \( \frac{480,480}{100} \) = 4,805 votes.

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.