《不同基数幂的乘法、积的乘方、幂的乘方》专项练习

《不同基数幂的乘法、积的乘方、幂的乘
方》专项练习
不同基数幂的乘法、积的乘方、幂的乘方专项练
1. 基数幂的乘法
- 问题 1: 计算 2^3 乘以 2^4。

- 问题 2: 计算 5^2 乘以 5^3。

- 问题 3: 计算 10^4 乘以 10^2。

2. 积的乘方
- 问题 1: 计算 (2^3)^4。

- 问题 2: 计算 (5^2)^3。

- 问题 3: 计算 (10^4)^2。

3. 幂的乘方
- 问题 1: 计算 (2^3)^4。

- 问题 2: 计算 (5^2)^3。

- 问题 3: 计算 (10^4)^2。

请根据以上问题进行练并计算。

每个问题的答案应写在对应的题号下方。

注意：基数幂的乘法，相同基数的底数幂相乘等于底数不变，指数相加；积的乘方，底数的积的指数等于每个底数的指数相加；幂的乘方，指数的指数等于两个指数相乘。

例如：
- 问题 1的答案应填写在 "问题 1：" 下方。

- 问题 2的答案应填写在 "问题 2：" 下方。

- 问题 3的答案应填写在 "问题 3：" 下方。

请注意进行准确的计算和填写答案。

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Special Practice for Multiplication of Powers with Different Bases, Power of Products, and Power of Powers
1. Multiplication of Powers with Different Bases
- Question 1: Calculate 2^3 multiplied by 2^4.
- Question 2: Calculate 5^2 multiplied by 5^3.
- Question 3: Calculate 10^4 multiplied by 10^2.
2. Power of Products
- Question 1: Calculate (2^3)^4.
- Question 2: Calculate (5^2)^3.
- Question 3: Calculate (10^4)^2.
3. Power of Powers
- Question 1: Calculate (2^3)^4.
- Question 2: Calculate (5^2)^3.
- Question 3: Calculate (10^4)^2.
Please practice and calculate the above questions. The answers for each question should be written below the corresponding question number.
Note: For multiplication of powers with different bases, when the bases are the same, we keep the base the same and add the exponents; for power of products, the exponent of the product is equal to the sum of the exponents of each base; for power of powers, the exponent of the exponent is equal to multiplying the two exponents.
For example:
- The answer to Question 1 should be written below "Question 1:".
- The answer to Question 2 should be written below "Question 2:".
- The answer to Question 3 should be written below "Question 3:".
Please ensure accurate calculation and proper answer placement.。