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.

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:

9z³ - 7z³
(9 - 7)z³
2z³

You have 36 out of the total of 450 raffle tickets sold so you have a (\( \frac{36}{450} \)) x 100 = \( \frac{36 \times 100}{450} \) = \( \frac{3600}{450} \) = 8% chance to win the raffle.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{2 x 3}{3 x 3} \) - \( \frac{6 x 1}{9 x 1} \)

\( \frac{6}{9} \) - \( \frac{6}{9} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{6 - 6}{9} \) = \( \frac{0}{9} \) =

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:

4z⁴ x 8z²
(4 x 8)z^{(4 + 2)}
32z⁶