To multiply terms with radicals, multiply the coefficients and radicands separately:

2\( \sqrt{6} \) x 3\( \sqrt{7} \)
(2 x 3)\( \sqrt{6 \times 7} \)
6\( \sqrt{42} \)

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 subtract 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:

\( \frac{9 x 7}{6 x 7} \) - \( \frac{3 x 3}{14 x 3} \)

\( \frac{63}{42} \) - \( \frac{9}{42} \)

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

\( \frac{63 - 9}{42} \) = \( \frac{54}{42} \) = 1\(\frac{2}{7}\)

By buying two shirts, Frank will save $49 x \( \frac{5}{100} \) = \( \frac{$49 x 5}{100} \) = \( \frac{$245}{100} \) = $2.45 on the second shirt.

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).