A factorial is the product of an integer and all the positive integers below it. To solve a fraction featuring factorials, expand the factorials and cancel out like numbers:

\( \frac{3!}{4!} \)
\( \frac{3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} \)
\( \frac{1}{4} \)
\( \frac{1}{4} \)

If 66% of the town's 42,000 voters cast ballots the number of votes cast is:

(\( \frac{66}{100} \)) x 42,000 = \( \frac{2,772,000}{100} \) = 27,720

The mayor got 66% of the votes cast which is:

(\( \frac{66}{100} \)) x 27,720 = \( \frac{1,829,520}{100} \) = 18,295 votes.

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:

6a⁵ - 9a⁵
(6 - 9)a⁵
-3a⁵

To simplify a radical, factor out the perfect squares:

\( \sqrt{75} \)
\( \sqrt{25 \times 3} \)
\( \sqrt{5^2 \times 3} \)
5\( \sqrt{3} \)

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:

-1x⁵ + 3x⁵
(-1 + 3)x⁵
2x⁵