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:

9y⁶ + 7y⁶
(9 + 7)y⁶
16y⁶

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 15 x \( \frac{50}{100} \) = \( \frac{50 x 15}{100} \) = \( \frac{750}{100} \) = 7 shots

The center makes 35% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{7}{\frac{35}{100}} \) = 7 x \( \frac{100}{35} \) = \( \frac{7 x 100}{35} \) = \( \frac{700}{35} \) = 20 shots

to make the same number of shots as the guard and thus score the same number of points.

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

8\( \sqrt{8} \) + 7\( \sqrt{2} \)
8\( \sqrt{4 \times 2} \) + 7\( \sqrt{2} \)
8\( \sqrt{2^2 \times 2} \) + 7\( \sqrt{2} \)
(8)(2)\( \sqrt{2} \) + 7\( \sqrt{2} \)
16\( \sqrt{2} \) + 7\( \sqrt{2} \)

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

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

6\( \sqrt{4} \) x 4\( \sqrt{9} \)
(6 x 4)\( \sqrt{4 \times 9} \)
24\( \sqrt{36} \)

Now we need to simplify the radical:

24\( \sqrt{36} \)
24\( \sqrt{6^2} \)
(24)(6)
144

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

\( \frac{3}{6} \) x \( \frac{2}{8} \) = \( \frac{3 x 2}{6 x 8} \) = \( \frac{6}{48} \) = \(\frac{1}{8}\)