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

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{81}} \)
\( \frac{\sqrt{64}}{\sqrt{81}} \)
\( \frac{\sqrt{8^2}}{\sqrt{9^2}} \)
\(\frac{8}{9}\)

The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 16 are [1, 2, 4, 8, 16]. They share 3 factors [1, 2, 4] making 4 the greatest factor 28 and 16 have in common.

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

8y⁵ - 6y⁵
(8 - 6)y⁵
2y⁵

To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{40}{60} \) = \( \frac{\frac{40}{20}}{\frac{60}{20}} \) = \( \frac{2}{3} \)