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:

3a⁴ x 4a⁴
(3 x 4)a^{(4 + 4)}
12a⁸

By buying two shirts, Ezra will save $45 x \( \frac{45}{100} \) = \( \frac{$45 x 45}{100} \) = \( \frac{$2025}{100} \) = $20.25 on the second shirt.

So, his total cost will be
$45.00 + ($45.00 - $20.25)
$45.00 + $24.75
$69.75

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{30}{100} \) = \( \frac{30 x 30}{100} \) = \( \frac{900}{100} \) = 9 shots

The center makes 25% 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 = \( \frac{9}{\frac{25}{100}} \) = 9 x \( \frac{100}{25} \) = \( \frac{9 x 100}{25} \) = \( \frac{900}{25} \) = 36 shots

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

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.