When dividing power, we need to follow the following steps:
Decomposition of numerator and denominator: the numerator and denominator of the division formula are regarded as two independent items respectively, and their exponents are determined.
Exponential Decreasing: Minus 1 from the exponent of the numerator and add 1 to the exponent of the denominator to make the exponents of the numerator and denominator equal.
Reduction: The numerator and denominator are reduced so that they only contain the same factor.
Calculation result: Divide the reduced numerator and denominator to get the final result.
For example, to calculate x6÷x4, we can follow the following steps: decompose the numerator denominator: x6÷x4=x2÷x2.
Decreasing index: x2÷x2=x2? 2÷x2？ 2。
Approximate score: x0÷x0= 1. Calculation result: The final result is 1.
The division of power is only applicable to the division of power with the same radix, and the radix cannot be 0. When dividing the power, we need to look at the operation law and order of the index.
Matters needing attention in power division:
1. Determine the radix: Before dividing power, you need to determine the radix. Usually, the base refers to the base in the power operation, that is, the exponent of the power.
2. Determine the exponent: the exponent refers to the exponent in the power operation, that is, the number of powers. In power division, it is necessary to determine the exponents of numerator and denominator.
3. Fraction: In the power division, the numerator and denominator need to be divided, so that they only contain the same factor. Pay attention to the change of index when decreasing, and whether there is a common factor after decreasing.
4. Convert to multiplication: the division of the power can be converted to multiplication, that is, division is regarded as the inverse operation of multiplication. In power division, the numerator and denominator can be regarded as two independent items, and then the result can be obtained by multiplication.
5. Pay attention to the operation sequence: when dividing power, you need to pay attention to the operation sequence. Power operation should be performed before multiplication and division.
6. Pay attention to the negative integer exponential power: when the radix is 0, the power cannot be divided. When the exponent is a negative integer, you need to pay attention to the calculation method. Like x? 2=x2 1 .