Math Problem Statement
Simplify the expression (3^4 / 3) × 3^2
Solution
The expression in the image is:
Let's simplify step by step:
Step 1: Simplify the fraction inside the parentheses
Step 2: Multiply by
Now, we multiply the result by :
Final Answer:
Thus, the expression simplifies to .
Would you like more details or further clarifications?
Here are five related questions you might explore:
- What is the general rule for dividing powers of the same base?
- How do you simplify expressions with multiple exponents?
- What happens when you multiply two powers with the same base?
- How can you use exponent rules to simplify more complex expressions?
- What is the value of ?
Tip: When working with powers of the same base, remember to subtract exponents when dividing and add exponents when multiplying!
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Exponent Rules
Formulas
a^m / a^n = a^(m-n) for division of exponents
a^m × a^n = a^(m+n) for multiplication of exponents
Theorems
Exponent Rules
Suitable Grade Level
Grades 8-10