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!