To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{8} \) ÷ \( \frac{3}{7} \) = \( \frac{3}{8} \) x \( \frac{7}{3} \)

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

\( \frac{3}{8} \) x \( \frac{7}{3} \) = \( \frac{3 x 7}{8 x 3} \) = \( \frac{21}{24} \) = \(\frac{7}{8}\)

By buying two shirts, Alex will save $16 x \( \frac{15}{100} \) = \( \frac{$16 x 15}{100} \) = \( \frac{$240}{100} \) = $2.40 on the second shirt.

If 60% of the town's 18,000 voters cast ballots the number of votes cast is:

(\( \frac{60}{100} \)) x 18,000 = \( \frac{1,080,000}{100} \) = 10,800

The mayor got 71% of the votes cast which is:

(\( \frac{71}{100} \)) x 10,800 = \( \frac{766,800}{100} \) = 7,668 votes.

To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{6} \) x 6\( \sqrt{9} \)
(6 x 6)\( \sqrt{6 \times 9} \)
36\( \sqrt{54} \)

Now we need to simplify the radical:

36\( \sqrt{54} \)
36\( \sqrt{6 \times 9} \)
36\( \sqrt{6 \times 3^2} \)
(36)(3)\( \sqrt{6} \)
108\( \sqrt{6} \)

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

4c² x 2c⁵
(4 x 2)c^{(2 + 5)}
8c⁷