https://file.aiquickdraw.com/mathbot/file/1729583552297x53v48yo.jpg

I see that you uploaded an image with several math problems that ask you to evaluate expressions for \( s = 4 \) and \( t = 8 \).

Let's go through some of the problems step by step. I'll begin with a few, and you can let me know if you need more.

### 25. \( (s + t)^3 \)
Given \( s = 4 \) and \( t = 8 \):
\[
(4 + 8)^3 = 12^3 = 12 \times 12 \times 12 = 1728
\]

### 26. \( s^4 + t^2 + \frac{s}{2} \)
Given \( s = 4 \) and \( t = 8 \):
\[
4^4 + 8^2 + \frac{4}{2} = 256 + 64 + 2 = 322
\]

### 27. \( \frac{(st)^2}{st^2} \)
Given \( s = 4 \) and \( t = 8 \):
\[
\frac{(4 \times 8)^2}{4 \times 8^2} = \frac{32^2}{4 \times 64} = \frac{1024}{256} = 4
\]

### 28. \( \frac{3st^2}{(st)} + 6 \)
Given \( s = 4 \) and \( t = 8 \):
\[
\frac{3 \times 4 \times 8^2}{(4 \times 8)} + 6 = \frac{3 \times 4 \times 64}{32} + 6 = \frac{768}{32} + 6 = 24 + 6 = 30
\]

### 29. \( (t - s)^5 \)
Given \( s = 4 \) and \( t = 8 \):
\[
(8 - 4)^5 = 4^5 = 4 \times 4 \times 4 \times 4 \times 4 = 1024
\]

Let me know if you'd like further explanations, more details, or if you'd like to tackle the remaining problems!

### Relative Questions:
1. How do you simplify an expression with exponents like in problem 25?
2. What is the significance of the base and the exponent in \( (s + t)^3 \)?
3. How would the result change in problem 26 if \( t \) were negative?
4. Can you factor common terms in expressions like problem 27 before simplifying?
5. How does distribution affect your solution process in problem 28?

### Tip:
Always group like terms and simplify inside the parentheses first before dealing with exponents and multiplication!

Evaluate each expression for s = 4 and t = 8 based on the provided image.

Learn how to evaluate expressions like (s + t)^3 and s^4 + t^2 + s ÷ 2 with step-by-step solutions. This algebra problem involves exponentiation and basic operations for students in Grades 8-10.

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