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

\( \frac{3}{6} \) x \( \frac{1}{8} \) = \( \frac{3 x 1}{6 x 8} \) = \( \frac{3}{48} \) = \(\frac{1}{16}\)

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

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 share.

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

\( \frac{9 x 7}{6 x 7} \) - \( \frac{7 x 3}{14 x 3} \)

\( \frac{63}{42} \) - \( \frac{21}{42} \)

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

\( \frac{63 - 21}{42} \) = \( \frac{42}{42} \) = 1

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

You have 4 out of the total of 100 raffle tickets sold so you have a (\( \frac{4}{100} \)) x 100 = \( \frac{4 \times 100}{100} \) = \( \frac{400}{100} \) = 4% chance to win the raffle.