Let's evaluate the three expressions from the image step-by-step:

23. $2^x \text{ for } x = 9$
We need to calculate $2^9$:
$2^9 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 512$ So, $2^9 = 512$.

24. $6n^2 \text{ for } n = 3$
Substitute $n = 3$ into the equation: $6 \times 3^2 = 6 \times 9 = 54$ So, $6n^2 = 54$ when $n = 3$.

25. $4s^3 \text{ for } s = 5$
Substitute $s = 5$ into the equation: $4 \times 5^3 = 4 \times (5 \times 5 \times 5) = 4 \times 125 = 500$ So, $4s^3 = 500$ when $s = 5$.

Let me know if you would like any more details! Here are five related questions you could explore:

1. What is $3^x \text{ for } x = 5$?
2. Evaluate $7n^2 \text{ for } n = 4$.
3. What is $5^3 + 2^4$?
4. Simplify $2n^3 + 4n^2$ for $n = 2$.
5. What is $4^x \text{ for } x = 6$?

Tip: When raising a number to a power, multiply the base by itself as many times as the exponent indicates.