Question

True False
Keep the base the same.


Add the exponents to get 29.


Subtract the exponents to get 21.


The final answer is 74621

Answer 1

It seems like you're dealing with a problem involving exponents and possibly a specific operation concerning them. However, the context isn't entirely clear. Let's break down the statements you provided:

1. **Keep the base the same.**
This usually means you are working with a problem that involves multiplying or dividing numbers with the same base.

2. **Add the exponents to get 29.**
If you are multiplying two numbers with the same base, you would add their exponents. For example, if \( a^m \times a^n = a^{m+n} \), and if you arrived at 29, you would have \( m+n = 29 \).

3. **Subtract the exponents to get 21.**
If you are dividing numbers with the same base, you subtract the exponents. For example, if \( \frac{a^m}{a^n} = a^{m-n} \), and you got 21, you would have \( m-n = 21 \).

4. **The final answer is 74621.**
This seems to be the numerical outcome of the operations performed in the previous steps.

Given that 29 (from the addition of exponents) and 21 (from the subtraction of exponents) are two equations, you could represent them as:

- \( m + n = 29 \)
- \( m - n = 21 \)

You can solve these equations to find the values of \( m \) and \( n \).

Adding these two equations gives:
- \( 2m = 50 \)
- \( m = 25 \)

Now substituting \( m = 25 \) back into the first equation:
- \( 25 + n = 29 \)
- \( n = 4 \)

So, it looks like \( m = 25 \) and \( n = 4 \).

If you're looking to evaluate \( a^m \times a^n = a^{29} \) and/or other calculations leading to the value 74621, please provide more context or clarify what you're trying to achieve with these exponents.