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:

\( \frac{-8y^6}{6y^3} \)
\( \frac{-8}{6} \) y^{(6 - 3)}
-1\(\frac{1}{3}\)y³

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.

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:

-8x⁶ + 2x⁶
(-8 + 2)x⁶
-6x⁶

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{8} \) x \( \frac{4}{7} \) = \( \frac{4 x 4}{8 x 7} \) = \( \frac{16}{56} \) = \(\frac{2}{7}\)

The factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 48 and 60 have in common.