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:

\( \frac{-3c^6}{c^3} \)
\( \frac{-3}{1} \) c^{(6 - 3)}
-3c³

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

Betty scored 83% on the test meaning she earned 83% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.83 = 150 points. Each question is worth 2 points so she got \( \frac{150}{2} \) = 75 questions right.

If the tiger has consumed 99 pounds of food in 11 days that's \( \frac{99}{11} \) = 9 pounds of food per day. The tiger needs to consume 135 - 99 = 36 more pounds of food to reach 135 pounds total. At 9 pounds of food per day that's \( \frac{36}{9} \) = 4 more days.

A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{3!}{5!} \)
\( \frac{3 \times 2 \times 1}{5 \times 4 \times 3 \times 2 \times 1} \)
\( \frac{1}{5 \times 4} \)
\( \frac{1}{20} \)