The power function in the domain of definition is an increasing function, the exponent is greater than 0, and the decreasing function is less than 0,

wrong
Should be
x> When 0, the exponent of increasing function is greater than 0, and the exponent of decreasing function is less than 0
x

Is y = x ^ 0 a power function?

Yes
Generally, a function of the form y = Xa (a is a constant), that is, a function whose base is an independent variable, power is a dependent variable, and exponent is a constant, is called a power function. For example, the functions y = x, y = X2, y = 1 / x (Note: y = 1 / x = x-1) are all power functions

Logarithmic function
If f (x) = log a x (0 < a ≠ 1) satisfies f (27) = 3, then f ^ - 1 (log 9 2)=
How to solve this logarithmic function?

f^-1(x)=3^x
log9 2=1/2log3 2
1 / 2log3 2 = log3 root 2
The final answer is root 2

The power function in the domain of definition is an increasing function, the exponent is greater than 0, and the decreasing function is less than 0,