https://file.aiquickdraw.com/mathbot/file/1726178072479p1vk50df.jpg

The function provided in the image is \( f(n) = 10^n \). You are asked to evaluate the function at specific values of \( n \).

### a. \( f(6) \)
For \( f(6) \), substitute \( n = 6 \) into the function:

\[
f(6) = 10^6 = 1,000,000
\]

### b. \( f(0) \)
For \( f(0) \), substitute \( n = 0 \) into the function:

\[
f(0) = 10^0 = 1
\]

Thus, the answers are:
- a. \( f(6) = 1,000,000 \)
- b. \( f(0) = 1 \)

Do you need further explanation on this or have any other questions?

Here are 5 related questions to expand on this:
1. What is \( f(1) \) for the same function?
2. How does the function \( f(n) = 10^n \) behave as \( n \to \infty \)?
3. What is the inverse function of \( f(n) = 10^n \)?
4. How would you solve \( f(n) = 1000 \)?
5. What happens to \( f(n) = 10^n \) if \( n \) is negative?

**Tip:** Remember that any number raised to the power of 0 is always 1!

Given the function f(n) = 10^n, evaluate f(6) and f(0).

Solve the exponential function f(n) = 10^n at specific values, such as f(6) = 1,000,000 and f(0) = 1. This problem introduces core concepts in exponential functions and is suitable for students in grades 6-8.

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