Same radix power multiplication, constant radix, exponential addition.

Power, constant radix, exponential multiplication.

The power of the product is equal to multiplying each factor of the product by the power, and then multiplying it by the power.

Same base powers divides, the base remains the same, and the exponent is subtracted.

The power of quotient is equal to the power of dividend and divisor respectively, and then divided by the power.

Mathematically, we take the product of multiplication of n identical factors a as a? . This operation of finding the product of several identical factors is called power, and the result of power is called power. In a? Where a is called the base and n is called the exponent. N is pronounced "a to the n power" or "a to the n power".

A number can be regarded as the first power of the number itself. Five is five? The exponent 1 is usually omitted. Quadratic is also called square, 5? Usually pronounced as "the square of 5"; Cubes are also called cubes, such as 5? It can be read as "the cube of 5".

The Importance of Exponential Power in Mathematics

Indicates the increase or decrease of quantity: exponential power can be used to indicate the speed of increase or decrease of quantity. When the cardinality is greater than 1, the larger the index, the faster the numerical growth; When the cardinality is less than 1, the larger the exponent, the faster the numerical value decreases.

Simplify calculation: Exponential powers can be used to simplify complex calculations. In algebraic operation, we can use the operation property of exponential power to simplify the expression and reduce the amount of calculation.

Solving practical problems: Exponential power is also widely used in practical problems. In the fields of finance, economy, physics and chemistry, exponential power is often used to describe various phenomena and laws.

Study the properties of function: Exponential function is an important function, and its image and properties play an important role in mathematics. By studying the properties of exponential function, we can better understand the concept and properties of function.

Expand the field of mathematics: the concept and operational nature of exponential power are widely used in various fields of mathematics, and have important applications in calculus, number theory, probability theory, statistics and other fields.