The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-3c² + 6c²
(-3 + 6)c²
3c²

If the tiger has consumed 88 pounds of food in 8 days that's \( \frac{88}{8} \) = 11 pounds of food per day. The tiger needs to consume 132 - 88 = 44 more pounds of food to reach 132 pounds total. At 11 pounds of food per day that's \( \frac{44}{11} \) = 4 more days.

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:

\( \frac{-8z^5}{8z^4} \)
\( \frac{-8}{8} \) z^{(5 - 4)}
-z

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