A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

If the tiger has consumed 110 pounds of food in 11 days that's \( \frac{110}{11} \) = 10 pounds of food per day. The tiger needs to consume 140 - 110 = 30 more pounds of food to reach 140 pounds total. At 10 pounds of food per day that's \( \frac{30}{10} \) = 3 more days.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

To add 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:

\( \frac{2 x 7}{6 x 7} \) + \( \frac{2 x 3}{14 x 3} \)

\( \frac{14}{42} \) + \( \frac{6}{42} \)

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

\( \frac{14 + 6}{42} \) = \( \frac{20}{42} \) = \(\frac{10}{21}\)

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.