Math Problem Statement
3^n - 3^n-1
Solution
Let's solve the expression .
We can factor the expression to simplify it:
So, the simplified form of the expression is:
Would you like further details or have any questions about this? Here are some related questions:
- How do you factor expressions involving exponents?
- What are the properties of exponents?
- Can you apply this method to expressions with different bases?
- How would this simplification change if the base were different?
- What happens if in this expression?
Tip: Remember that factoring is a useful technique when simplifying expressions with powers of the same base.
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Math Problem Analysis
Mathematical Concepts
Exponents
Factoring
Algebra
Formulas
3^n - 3^{n-1} = 3^{n-1} * (3 - 1) = 2 * 3^{n-1}
Theorems
Properties of Exponents
Suitable Grade Level
Grades 9-12
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