Answer:
A. 2^20/3^8
Step-by-step explanation:
(2^5/3^2)^4 ➡2^20/3^8 since neither the bases nor the powers are equal we can't simplify any further.
Answer:
The average rate of change is 8
Step-by-step explanation:
Mathematically, we have the average rate of change over a given interval as;
f(b) - f(a)/b-a
Where the interval is [a,b]
With respect to this question, a = 3 and b = 5
f(a) = f(3) = 3^2 - 4 = 9-4 = 5
f(b) = f(5) = 5^2 - 4 = 25-4 = 21
Thus, the average rate of change over the intervals will be;
(21-5)/(5-3) = 16/2 = 8
Answer:
Step-by-step explanation:
8/24 is the answer
Let’s draw a picture to figure that out.
Let’s make a rectangle and split it into eight pieces since we are finding 8/9 of 3/8. Next, we will circle 3/8 because that is what we are diving up. Then we split the 3/8 into nine pieces since we are diving by 8/9. Then we will have one more group of three to split into nine pieces, so let’s do that. Then, since 9 divided by 3 is 3, we will split the last two pieces into 3 pieces each. Then we will shade in 8/9 of the circled pieces. Count all the pieces now, which should be 24 pieces. Then how many of those are shaded? 8/24 is the answer.