1

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

2 + (5 + 3) ÷ 4 x 3 - 4²
P: 2 + (8) ÷ 4 x 3 - 4²
E: 2 + 8 ÷ 4 x 3 - 16
MD: 2 + \( \frac{8}{4} \) x 3 - 16
MD: 2 + \( \frac{24}{4} \) - 16
AS: \( \frac{8}{4} \) + \( \frac{24}{4} \) - 16
AS: \( \frac{32}{4} \) - 16
AS: \( \frac{32 - 64}{4} \)
\( \frac{-32}{4} \)
-8

To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{2b^8}{3b^3} \)
\( \frac{2}{3} \) b^{(8 - 3)}
\(\frac{2}{3}\)b⁵

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{49}{49}} \)
\( \frac{\sqrt{49}}{\sqrt{49}} \)
\( \frac{\sqrt{7^2}}{\sqrt{7^2}} \)
1

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