Which expression has a value that is more than the base of that expression? 4/5 + 1/8 to the third power
5/3 + 2/3 to the third power
2/3 + 1/8 to the forth power
6/7 + 2/3 to the zero power

stops on an even number.

1 number

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.