Exponential function: the position of the independent variable x in the exponent, y = a x(a >；; 0, a is not equal to 1), when a >; At 1, the function is increasing function, y >；; 0; When 0; 0.
Power function: the position of independent variable x in radix, Y = X A (A is not equal to 1). A is not equal to 1, but it can be positive or negative. Different values make different images and properties.
Second, the nature is different.
1, power function:
2. Exponential function:
Extended data
Arithmetic of logarithm:
1、log(a) (M N)=log(a) M+log(a) N
2、log(a) (M÷N)=log(a) M-log(a) N
Log (m n = nlog (a)
4、log(a)b*log(b)a= 1
log(a) b=log (c) b÷log (c) a
Algorithm of exponent:
1, [a m] × [a n] = a (m+n) is the same as the base power, the base number is constant, and the exponents are added.
2.[a m]⊙[a n]= a(m-n) Divide by the power with the same base, and subtract the exponent with the same base.
3. [a m] n = the power of a (Mn), the cardinality is unchanged, exponential multiplication?
4. The power of the product of [ab] m = (a m) × (a m) is equal to the power of each factor, and then multiplied by the obtained power.