Simplify the expression (2^5*3^4)/(2^7*3^2)

First, solve the exponents in the parentheses.
2^5 = 32
3^4 = 81
2^7 = 128
3^2 = 9
This makes the expression (32*81)/(128*9).
Now solve the parentheses.
32*81 = 2592
128*9 = 1152
(2592)/(1152)
Now just divide!
(2592)/(1152) = 2.25

So the answer to the question is 2.25.

Hope this helps!

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

 

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

52 or what they said ☝️