(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8
When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.
(a^b)*(a^c) = a^(b+c)
Answer:
Step-by-step explanation:
1 21x5=105 2 3x5x10=150
4 200x36=7200+25x15x10/2=9075
Answer:
128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds
Step-by-step explanation:
The average rate of change is another way to say slope.
slope = (y2-y1)/(x2-x1)
= (576-64)/(6-2)
= (512/4)
=128 ft/s
This represents the change in ft per second, or the average speed the object is going during the time period.
Lna^b = blna
let y = lne^e
so y = lne^e = e lne
lne = 1
y = e which is a constant (Euler's number) ~= 2.718
For Euler's number estimating methods request in a comment.