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Simplify 4 36m^8 n^4 where m ≥ 0, n ≥ 0

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Answer: To simplify the expression 4 * 36m^8 * n^4, we can follow these steps:

Step 1: Simplify the numbers

Multiply 4 and 36 to get 144.

Step 2: Simplify the variables with exponents

Multiply m^8 and n^4 to get m^8 * n^4.

Step 3: Final simplification

Putting it all together, we have 144m^8 * n^4.

Remember that when multiplying variables with the same base, you add the exponents. So, the final answer is 144m^8 * n^4.

Let's look at an example to help illustrate this. Suppose m = 2 and n = 3.

The original expression would be 4 * 36 * 2^8 * 3^4.

Simplifying step by step:

1. Multiply 4 and 36 to get 144.

2. Substitute the values of m and n: 144 * 2^8 * 3^4.

3. Evaluate 2^8 to get 256.

4. Evaluate 3^4 to get 81.

5. Multiply 144, 256, and 81 to get the final answer.

Remember, the values of m and n may vary, so this example was just to demonstrate the simplification process.

User Chrisntr
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