Math Problem Statement
Evaluate 3^(-2).
Solution
The image shows the expression . This represents a number raised to a negative exponent.
To evaluate , recall that a negative exponent means you take the reciprocal of the base raised to the positive exponent:
Thus, .
Would you like a more detailed explanation or have any further questions about exponents?
Here are some related questions for you to explore:
- How do you simplify an expression with a negative exponent?
- What happens when you raise a number to the power of zero?
- How would you evaluate ?
- What is the rule for multiplying numbers with the same base but different exponents?
- How do fractional exponents relate to roots?
Tip: When dealing with negative exponents, always remember that they represent the reciprocal of the positive exponent!
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Reciprocal Rules
Formulas
a^(-b) = 1 / (a^b)
Theorems
Negative Exponent Rule
Suitable Grade Level
Grades 6-8