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:

2z⁵ - 9z⁵
(2 - 9)z⁵
-7z⁵

If 49% of the town's 39,000 voters cast ballots the number of votes cast is:

(\( \frac{49}{100} \)) x 39,000 = \( \frac{1,911,000}{100} \) = 19,110

The mayor got 63% of the votes cast which is:

(\( \frac{63}{100} \)) x 19,110 = \( \frac{1,203,930}{100} \) = 12,039 votes.

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 simplify this fraction, first find the greatest common factor between them. The factors of 28 are [1, 2, 4, 7, 14, 28] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{28}{52} \) = \( \frac{\frac{28}{4}}{\frac{52}{4}} \) = \( \frac{7}{13} \)

To simplify a radical, factor out the perfect squares:

\( \sqrt{27} \)
\( \sqrt{9 \times 3} \)
\( \sqrt{3^2 \times 3} \)
3\( \sqrt{3} \)