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 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

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

\( \frac{2 x 5}{6 x 5} \) - \( \frac{6 x 3}{10 x 3} \)

\( \frac{10}{30} \) - \( \frac{18}{30} \)

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

\( \frac{10 - 18}{30} \) = \( \frac{-8}{30} \) = -\(\frac{4}{15}\)

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 share.

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

\( \frac{8 x 2}{8 x 2} \) + \( \frac{2 x 1}{16 x 1} \)

\( \frac{16}{16} \) + \( \frac{2}{16} \)

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

\( \frac{16 + 2}{16} \) = \( \frac{18}{16} \) = 1\(\frac{1}{8}\)

The factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24] and the factors of 44 are [1, 2, 4, 11, 22, 44]. They share 3 factors [1, 2, 4] making 4 the greatest factor 24 and 44 have in common.