The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

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

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:

-3c⁷ x 4c⁴
(-3 x 4)c^{(7 + 4)}
-12c¹¹

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 radicals together their radicands must be the same:

7\( \sqrt{63} \) + 5\( \sqrt{7} \)
7\( \sqrt{9 \times 7} \) + 5\( \sqrt{7} \)
7\( \sqrt{3^2 \times 7} \) + 5\( \sqrt{7} \)
(7)(3)\( \sqrt{7} \) + 5\( \sqrt{7} \)
21\( \sqrt{7} \) + 5\( \sqrt{7} \)

Now that the radicands are identical, you can add them together: