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

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

To subtract 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 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [40, 80] making 40 the smallest multiple 8 and 10 share.

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

\( \frac{9 x 5}{8 x 5} \) - \( \frac{4 x 4}{10 x 4} \)

\( \frac{45}{40} \) - \( \frac{16}{40} \)

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

\( \frac{45 - 16}{40} \) = \( \frac{29}{40} \) = \(\frac{29}{40}\)

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

If 43% of the town's 30,000 voters cast ballots the number of votes cast is:

(\( \frac{43}{100} \)) x 30,000 = \( \frac{1,290,000}{100} \) = 12,900

The mayor got 64% of the votes cast which is:

(\( \frac{64}{100} \)) x 12,900 = \( \frac{825,600}{100} \) = 8,256 votes.