To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{49}} \)
\( \frac{\sqrt{64}}{\sqrt{49}} \)
\( \frac{\sqrt{8^2}}{\sqrt{7^2}} \)
\( \frac{8}{7} \)
1\(\frac{1}{7}\)

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

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 10 x \( \frac{35}{100} \) = \( \frac{35 x 10}{100} \) = \( \frac{350}{100} \) = 3 shots

The center makes 30% 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 = \( \frac{3}{\frac{30}{100}} \) = 3 x \( \frac{100}{30} \) = \( \frac{3 x 100}{30} \) = \( \frac{300}{30} \) = 10 shots

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

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:

1x² + 2x²
(1 + 2)x²
3x²

To simplify a radical, factor out the perfect squares:

\( \sqrt{125} \)
\( \sqrt{25 \times 5} \)
\( \sqrt{5^2 \times 5} \)
5\( \sqrt{5} \)