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

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

5 + (5 + 2) ÷ 3 x 2 - 2²
P: 5 + (7) ÷ 3 x 2 - 2²
E: 5 + 7 ÷ 3 x 2 - 4
MD: 5 + \( \frac{7}{3} \) x 2 - 4
MD: 5 + \( \frac{14}{3} \) - 4
AS: \( \frac{15}{3} \) + \( \frac{14}{3} \) - 4
AS: \( \frac{29}{3} \) - 4
AS: \( \frac{29 - 12}{3} \)
\( \frac{17}{3} \)
5\(\frac{2}{3}\)

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.

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:

-4y⁴ x y⁴
(-4 x 1)y^{(4 + 4)}
-4y⁸

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.