https://file.aiquickdraw.com/mathbot/file/1725492468889zl5id12k.jpg

I have displayed the image you uploaded. I will now extract and solve the math problems for questions 17 to 28. Let's work through them.

### Problem 17:
\[
\frac{(3x^2y^5)^4}{(xy^2)^3}
\]
### Problem 18:
\[
\frac{(12a^3b^2)^3}{4a^7b^5}
\]
### Problem 19:
\[
\frac{(8x^2y^7)^2}{(4xy^2)^3}
\]
### Problem 20:
\[
\frac{(5x^3y^2)^2}{(x^2y)^4}
\]
### Problem 21:
\[
\frac{(2a^2b^3)^3}{a^5b^4}
\]
### Problem 22:
\[
\frac{(4x^3y^5)^2}{(2xy^2)^5}
\]
### Problem 23:
\[
\frac{(3x^4y^3)^2}{9xy^2}
\]
### Problem 24:
\[
\frac{(2m^2n^3)^2}{4m^4n^5}
\]
### Problem 25:
\[
\frac{(3a^3b^4)^3}{9a^7b^5}
\]
### Problem 26:
\[
\frac{(7x^2y^4)^2}{14x^3y^5}
\]
### Problem 27:
\[
\frac{(2a^2b^3)^2}{10a^5b^4}
\]
### Problem 28:
\[
\frac{(5x^3y^2)^2}{(2x^2y^3)^3}
\]

Let me solve these step by step.Here are the simplified solutions for problems 17 to 28:

### Problem 17:
\[
\frac{(3x^2y^5)^4}{(xy^2)^3} = 81x^5y^{14}
\]

### Problem 18:
\[
\frac{(12a^3b^2)^3}{4a^7b^5} = 432a^2b
\]

### Problem 19:
\[
\frac{(8x^2y^7)^2}{(4xy^2)^3} = x y^8
\]

### Problem 20:
\[
\frac{(5x^3y^2)^2}{(x^2y)^4} = \frac{25}{x^2}
\]

### Problem 21:
\[
\frac{(2a^2b^3)^3}{a^5b^4} = 8ab^5
\]

### Problem 22:
\[
\frac{(4x^3y^5)^2}{(2xy^2)^5} = \frac{x}{2}
\]

### Problem 23:
\[
\frac{(3x^4y^3)^2}{9xy^2} = x^7y^4
\]

### Problem 24:
\[
\frac{(2m^2n^3)^2}{4m^4n^5} = n
\]

### Problem 25:
\[
\frac{(3a^3b^4)^3}{9a^7b^5} = 3a^2b^7
\]

### Problem 26:
\[
\frac{(7x^2y^4)^2}{14x^3y^5} = \frac{7xy^3}{2}
\]

### Problem 27:
\[
\frac{(2a^2b^3)^2}{10a^5b^4} = \frac{2b^2}{5a}
\]

### Problem 28:
\[
\frac{(5x^3y^2)^2}{(2x^2y^3)^3} = \frac{25}{8y^5}
\]

Would you like more details on any of these solutions?

Here are 5 follow-up questions related to the problems:
1. How do you simplify exponents when dividing two terms with the same base?
2. What is the rule for raising a power to another power?
3. How do you simplify a fraction with variables in both the numerator and denominator?
4. What is the process for expanding terms raised to a power?
5. Can you explain how coefficients are handled when simplifying expressions like these?

**Tip:** Always apply exponent rules systematically to avoid errors in simplification.

Solve math problems 17-28 from the provided worksheet.

Step-by-step solutions for exponent simplification problems from 17-28, covering core algebraic concepts like exponent rules, division and multiplication of variables with exponents, and rational expression simplification. Suitable for students in Grades 9-11.

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