Respuesta :

Answer:

To find the value of m in the expression 7^m + 2 * 3^m + 2, we can solve it algebraically.

Here's how we can do it step-by-step:

1. We have the expression 7^m + 2 * 3^m + 2.

2. To simplify the expression, we can combine the terms that have the same base. The terms 7^m and 3^m have different bases, so we cannot combine them directly.

3. However, we can rewrite 7^m as (3^2)^m and simplify it using the exponent rule, which states that (a^b)^c = a^(b * c). Applying this rule, we have (3^2)^m = 3^(2m).

4. Now, we can rewrite the expression as 3^(2m) + 2 * 3^m + 2.

5. Notice that we now have two terms with the base 3^m, so we can combine them. This gives us the expression 3^(2m) + 2 * 3^m + 2.

6. The expression does not simplify further, so we have the final form of the expression.

Therefore, the value of m in the expression 7^m + 2 * 3^m + 2 cannot be determined without additional information. The expression remains in its simplified form.

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