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

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

\( \frac{2}{8} \) x \( \frac{2}{5} \) = \( \frac{2 x 2}{8 x 5} \) = \( \frac{4}{40} \) = \(\frac{1}{10}\)

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

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

5 + (3 + 4) ÷ 2 x 3 - 5²
P: 5 + (7) ÷ 2 x 3 - 5²
E: 5 + 7 ÷ 2 x 3 - 25
MD: 5 + \( \frac{7}{2} \) x 3 - 25
MD: 5 + \( \frac{21}{2} \) - 25
AS: \( \frac{10}{2} \) + \( \frac{21}{2} \) - 25
AS: \( \frac{31}{2} \) - 25
AS: \( \frac{31 - 50}{2} \)
\( \frac{-19}{2} \)
-9\(\frac{1}{2}\)

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:

\( \frac{4z^9}{9z^3} \)
\( \frac{4}{9} \) z^{(9 - 3)}
\(\frac{4}{9}\)z⁶