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

\( \frac{1}{9} \) x \( \frac{2}{8} \) = \( \frac{1 x 2}{9 x 8} \) = \( \frac{2}{72} \) = \(\frac{1}{36}\)

To add these radicals together their radicands must be the same:

6\( \sqrt{27} \) + 7\( \sqrt{3} \)
6\( \sqrt{9 \times 3} \) + 7\( \sqrt{3} \)
6\( \sqrt{3^2 \times 3} \) + 7\( \sqrt{3} \)
(6)(3)\( \sqrt{3} \) + 7\( \sqrt{3} \)
18\( \sqrt{3} \) + 7\( \sqrt{3} \)

Now that the radicands are identical, you can add them together:

If 63% of the town's 24,000 voters cast ballots the number of votes cast is:

(\( \frac{63}{100} \)) x 24,000 = \( \frac{1,512,000}{100} \) = 15,120

The mayor got 68% of the votes cast which is:

(\( \frac{68}{100} \)) x 15,120 = \( \frac{1,028,160}{100} \) = 10,282 votes.

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:

-4z² + 6z²
(-4 + 6)z²
2z²

There are 4 4-passenger taxis available so that's 4 x 4 = 16 total seats. There are 20 people needing transportation leaving 20 - 16 = 4 who will have to find other transportation.