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.

If the tiger has consumed 42 pounds of food in 7 days that's \( \frac{42}{7} \) = 6 pounds of food per day. The tiger needs to consume 84 - 42 = 42 more pounds of food to reach 84 pounds total. At 6 pounds of food per day that's \( \frac{42}{6} \) = 7 more days.

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

\( \frac{3}{7} \) x \( \frac{4}{8} \) = \( \frac{3 x 4}{7 x 8} \) = \( \frac{12}{56} \) = \(\frac{3}{14}\)

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

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:

\( \frac{-6a^6}{6a^2} \)
\( \frac{-6}{6} \) a^{(6 - 2)}
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