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

If the tiger has consumed 60 pounds of food in 5 days that's \( \frac{60}{5} \) = 12 pounds of food per day. The tiger needs to consume 120 - 60 = 60 more pounds of food to reach 120 pounds total. At 12 pounds of food per day that's \( \frac{60}{12} \) = 5 more days.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{60}{100} \) = \( \frac{60 x 20}{100} \) = \( \frac{1200}{100} \) = 12 shots

The center makes 40% 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 = \( \frac{12}{\frac{40}{100}} \) = 12 x \( \frac{100}{40} \) = \( \frac{12 x 100}{40} \) = \( \frac{1200}{40} \) = 30 shots

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

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

\( \frac{6c^5}{c^4} \)
\( \frac{6}{1} \) c^{(5 - 4)}
6c

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:

5x² - 3x²
(5 - 3)x²
2x²