To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.

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

\( \frac{4 x 7}{3 x 7} \) + \( \frac{9 x 3}{7 x 3} \)

\( \frac{28}{21} \) + \( \frac{27}{21} \)

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

\( \frac{28 + 27}{21} \) = \( \frac{55}{21} \) = 2\(\frac{13}{21}\)

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 divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:

\( \frac{-4c^5}{5c^3} \)
\( \frac{-4}{5} \) c^{(5 - 3)}
-\(\frac{4}{5}\)c²

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

5c² + 3c²
(5 + 3)c²
8c²

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:

8b² x 2b⁵
(8 x 2)b^{(2 + 5)}
16b⁷