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

3 + (3 + 2) ÷ 3 x 5 - 2²
P: 3 + (5) ÷ 3 x 5 - 2²
E: 3 + 5 ÷ 3 x 5 - 4
MD: 3 + \( \frac{5}{3} \) x 5 - 4
MD: 3 + \( \frac{25}{3} \) - 4
AS: \( \frac{9}{3} \) + \( \frac{25}{3} \) - 4
AS: \( \frac{34}{3} \) - 4
AS: \( \frac{34 - 12}{3} \)
\( \frac{22}{3} \)
7\(\frac{1}{3}\)

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

4a⁶ - 6a⁶
(4 - 6)a⁶
-2a⁶

To add these radicals together their radicands must be the same:

2\( \sqrt{8} \) + 5\( \sqrt{2} \)
2\( \sqrt{4 \times 2} \) + 5\( \sqrt{2} \)
2\( \sqrt{2^2 \times 2} \) + 5\( \sqrt{2} \)
(2)(2)\( \sqrt{2} \) + 5\( \sqrt{2} \)
4\( \sqrt{2} \) + 5\( \sqrt{2} \)

Now that the radicands are identical, you can add them together:

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

\( \frac{3}{9} \) x \( \frac{3}{6} \) = \( \frac{3 x 3}{9 x 6} \) = \( \frac{9}{54} \) = \(\frac{1}{6}\)

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.