Math Problem Statement
Simplify this expression: 3^(-2). Use 3 as the base.
Solution
The given expression is .
To simplify it using only positive exponents, apply the rule of negative exponents:
So:
Thus, the simplified form is .
Let me know if you want additional clarifications!
Expanding knowledge:
- What is the general rule for simplifying ?
- How do negative exponents affect fractional bases?
- How can negative exponents appear in equations involving variables?
- What happens when you multiply two terms with negative exponents?
- How does compare to ?
Tip: Always simplify negative exponents by rewriting them as fractions to make computations easier!
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Math Problem Analysis
Mathematical Concepts
Negative Exponents
Exponential Notation
Simplification Rules
Formulas
a^(-n) = 1 / a^n
Theorems
Negative Exponent Rule
Suitable Grade Level
Grades 6-8