In the field of mathematics, power sum multiplication is a basic operation method. Mastering this operation method is of great help to solve various mathematical problems.

First, the concept of power and multiplication

1, power of power: refers to multiplying a number (called base) by several times, where the number of times of product is called exponent. For example, 2 3 = 2× 2× 2 = 8.

2. Multiplication: refers to the multiplication of two or more numbers. For example, 2×3=6.

Second, the classic problem analysis

Calculation of Power Sum of 1

Title: Calculation (23)2.

Analysis: According to the power law, (23) 2 = 2 (3× 2) = 2 6 = 64.

2. Combination of multiplication and power.

Topic: Calculate 2× 3 2.

Analysis: According to the power law, 2 3× 3 2 = 2 3× 3 = 8× 9 = 72.

3. Comprehensive application of power sum multiplication.

Title: Calculation (2× 3) 3.

Analysis: According to the law of power and multiplication, (2× 3) 3 = 2× 3 3 = 8× 27 = 2 16.

4. Negative index and fractional index

Topic: Calculate 2 (-3) × 3 (-2).

Analysis: According to the law of negative exponent and fractional exponent, 2 (-3) =1/2 3 =1/8,3 (-2) =1/3 2 =1/9. Therefore, 2 (-3) × 3 (-2) =1/8×1/9 =1/72.

5. Multiplication with the same exponent and power.

Topic: Calculate 2 4× 3 4.

Analysis: According to the power law of the same exponent, 2 4× 3 4 = (2× 3) 4 = 6 4 =1296.

Third, summary.

1, proficient in power sum multiplication algorithm.

2. Pay attention to the data and conditions in the topic and use power sum multiplication flexibly.

3, in the calculation process, be careful to avoid mistakes caused by carelessness.

4. Do more exercises, deepen the understanding of power sum multiplication and improve the ability to solve problems.