https://file.aiquickdraw.com/mathbot/file/1726083897596vkgax8bb.jpg

It seems you've uploaded an image containing a math worksheet on exponent rules. I will extract the problems from it and provide explanations or solutions.

Here's a breakdown of the visible problems:

1. \( \left( \frac{1}{8} \right)^5 \left( \frac{1}{8} \right)^3 \)
2. \( 3k^5 \cdot 4k^5 \)
3. \( \frac{45k^{11}}{5k^3} \)
4. \( \frac{18h^8}{6h^3} \)
5. \( (3d^7n) \)
6. \( (2x^2 \cdot 5x^7) \)
7. \( \frac{3}{f^9} \)
8. \( 2c^0 = 9 \)
9. \( \frac{9m^2}{x^3} \)
10. \( (x^2y^2z)^2 \)

Would you like detailed solutions for these, or is there a particular problem you'd like to focus on first?

Here are five follow-up questions you might consider based on exponent rules:

1. How do you simplify expressions that involve multiplying terms with the same base?
2. What rule governs dividing terms with the same base but different exponents?
3. How does raising a power to another power affect the exponent?
4. Why does any number raised to the power of 0 equal 1, except for 0 itself?
5. How do you simplify expressions where the base is a product or quotient of variables?

**Tip:** Always remember that when multiplying terms with the same base, you add their exponents (e.g., \(a^m \cdot a^n = a^{m+n}\)).

Exponent rules worksheet with multiple problems involving multiplying, dividing, and simplifying exponent expressions.

Learn how to solve exponent rule problems, including multiplying and dividing terms with the same base, raising powers to other powers, and simplifying expressions. This worksheet is suitable for students in Grades 7-9 and covers key exponent properties.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation