If the tiger has consumed 81 pounds of food in 9 days that's \( \frac{81}{9} \) = 9 pounds of food per day. The tiger needs to consume 135 - 81 = 54 more pounds of food to reach 135 pounds total. At 9 pounds of food per day that's \( \frac{54}{9} \) = 6 more days.

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

\( \frac{2}{6} \) x \( \frac{3}{7} \) = \( \frac{2 x 3}{6 x 7} \) = \( \frac{6}{42} \) = \(\frac{1}{7}\)

The equation for this sequence is:

a_n = a_n-1 + 5

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 5
a₆ = 21 + 5
a₆ = 26

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

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:

6b⁴ x 3b²
(6 x 3)b^{(4 + 2)}
18b⁶