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

2 + (4 + 3) ÷ 2 x 3 - 4²
P: 2 + (7) ÷ 2 x 3 - 4²
E: 2 + 7 ÷ 2 x 3 - 16
MD: 2 + \( \frac{7}{2} \) x 3 - 16
MD: 2 + \( \frac{21}{2} \) - 16
AS: \( \frac{4}{2} \) + \( \frac{21}{2} \) - 16
AS: \( \frac{25}{2} \) - 16
AS: \( \frac{25 - 32}{2} \)
\( \frac{-7}{2} \)
-3\(\frac{1}{2}\)

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:

\( \frac{2z^9}{6z^3} \)
\( \frac{2}{6} \) z^{(9 - 3)}
\(\frac{1}{3}\)z⁶

To simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 64 are [1, 2, 4, 8, 16, 32, 64]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{28}{64} \) = \( \frac{\frac{28}{4}}{\frac{64}{4}} \) = \( \frac{7}{16} \)

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

Solving for distance:

distance = \( \text{speed} \times \text{time} \)
distance = \( 50mph \times 1h \)
50 miles

To simplify a radical, factor out the perfect squares:

\( \sqrt{32} \)
\( \sqrt{16 \times 2} \)
\( \sqrt{4^2 \times 2} \)
4\( \sqrt{2} \)