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.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

5 + (3 + 3) ÷ 4 x 3 - 2²
P: 5 + (6) ÷ 4 x 3 - 2²
E: 5 + 6 ÷ 4 x 3 - 4
MD: 5 + \( \frac{6}{4} \) x 3 - 4
MD: 5 + \( \frac{18}{4} \) - 4
AS: \( \frac{20}{4} \) + \( \frac{18}{4} \) - 4
AS: \( \frac{38}{4} \) - 4
AS: \( \frac{38 - 16}{4} \)
\( \frac{22}{4} \)
5\(\frac{1}{2}\)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{6} \) x \( \frac{1}{7} \) = \( \frac{3 x 1}{6 x 7} \) = \( \frac{3}{42} \) = \(\frac{1}{14}\)

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

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:

8a⁵ x 4a⁴
(8 x 4)a^{(5 + 4)}
32a⁹