A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 3}{2 x 3} \) + \( \frac{6 x 1}{6 x 1} \)

\( \frac{9}{6} \) + \( \frac{6}{6} \)

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

\( \frac{9 + 6}{6} \) = \( \frac{15}{6} \) = 2\(\frac{1}{2}\)

The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 60 have in common.

By buying two shirts, Ezra will save $27 x \( \frac{50}{100} \) = \( \frac{$27 x 50}{100} \) = \( \frac{$1350}{100} \) = $13.50 on the second shirt.

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:

-7x⁵ x 6x⁵
(-7 x 6)x^{(5 + 5)}
-42x¹⁰