1. Direct multiplication: multiply the base number by the exponent to get the result of power. For example, the cubic of 2 is equal to 2 times 2 times 2, which means 2 3 = 8.
2. Multiplication rule of power: When two powers are multiplied, the base number can be multiplied and the exponent can be added. For example, (2 3) 4 can be written as (2 3) * (2 3), which means 2 6.
3. Law of Power Division: One power divided by another power can be divided by the base and the exponent can be subtracted. For example, (2 3)/(2 2) can be written as (2 3)/(2 2), which is 2.
4. Exponential law of power: If the exponent of power is a fraction, you can turn the exponent of the base into an integer and then calculate it. For example, (2 3) (1/2) can be written as sqrt (2 3), which is 8 under the root sign.
5. Logarithmic law of power: If the exponent of a power is a real number, it can be converted into exponential form by using the property of logarithm. For example, log_2(8) can be written as a base 8 logarithm, that is, 3.
6. Root law of power: If the exponent of a power is an even power, it can be transformed into the form of exponent by using the nature of the root. For example, sqrt [(2 3) 2] can be written as (2 6) under the root sign, which is 64 under the root sign.
7. Power combination law: When two or more powers are multiplied or divided, internal operation can be performed first, and then external operation can be performed. For example, (2 3) (1/2) * (2 4) (1/3) can be written as ((2 3) (1/2)) * ((2 4) (65438).
These methods can help us to carry out mathematical power operation and simplify the calculation process. Mastering these methods skillfully can carry out mathematical operations more efficiently.