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

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

5 + (2 + 2) ÷ 5 x 3 - 3²
P: 5 + (4) ÷ 5 x 3 - 3²
E: 5 + 4 ÷ 5 x 3 - 9
MD: 5 + \( \frac{4}{5} \) x 3 - 9
MD: 5 + \( \frac{12}{5} \) - 9
AS: \( \frac{25}{5} \) + \( \frac{12}{5} \) - 9
AS: \( \frac{37}{5} \) - 9
AS: \( \frac{37 - 45}{5} \)
\( \frac{-8}{5} \)
-1\(\frac{3}{5}\)

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{2!}{3!} \)
\( \frac{2 \times 1}{3 \times 2 \times 1} \)
\( \frac{1}{3} \)
\( \frac{1}{3} \)

Christine scored 77% on the test meaning she earned 77% of the possible points on the test. There were 280 possible points on the test so she earned 280 x 0.77 = 216 points. Each question is worth 4 points so she got \( \frac{216}{4} \) = 54 questions right.