1. Understand the concept: the power of one power refers to the index of one power multiplied by the index of another power, for example, (a m) n = a (Mn). Understanding this concept is the basis of power multiplication.

2. Recognition pattern: In the topic, some specific patterns often appear, such as: x 2 x 3 = x (2+3) = x 5, or (x 2) 3 = x (2× 3) = x 6. These patterns can help us find the right answer quickly.

3. Flexible application of rules: In power operation, we can flexibly apply mathematical rules such as distribution law and association law, such as: (a+b) 2 = a 2+2ab+b 2, (a-b) 2 = a 2-2ab+b 2.

4. Simplify calculation: In the process of calculation, we can simplify the calculation as much as possible, such as combining the power of the power with the associative law and distributive law of multiplication, which can reduce the amount of calculation.

5. Careful calculation: When performing power multiplication, we must pay attention to careful calculation to avoid making mistakes due to carelessness.

Methods to improve mathematical thinking ability;

1. Understanding basic concepts: To learn mathematics well, we must first understand basic concepts, including mathematical symbols, formulas and theorems. Only by understanding the basic concepts can we better use them to solve problems.

2. Learn to analyze problems: Mathematical problems are often complicated and need to learn to analyze problems. Learn to break down a complex problem into several simple problems and solve them one by one. This can help you better understand the problem and find a solution to it.

3. Mastering problem-solving methods: Different types of mathematical problems need different problem-solving methods. We should master various problem-solving methods, such as induction, deduction and reduction to absurdity. , and can choose the appropriate problem-solving method according to specific problems.

4. Do more exercises: Mathematical thinking ability needs to be improved through a large number of exercises. Do more exercises, deepen the understanding of knowledge points through repeated exercises, and cultivate the sensitivity and speed of solving problems.

5. Exploring mathematical problems: Learning mathematics is not only mastering knowledge points and solving methods, but also exploring mathematical problems. Try to put forward and solve some problems by yourself, and cultivate your curiosity and inquiry spirit.