Math Problem Statement
To simplify this expression, first find the base of the exponential term. Then simplify the expression. 3x^-2
Solution
To simplify the expression , let's follow these steps:
Step 1: Identify the base of the exponential term
In the expression , the base of the exponential term is , and the exponent is .
Step 2: Apply the rule for negative exponents
The rule for negative exponents is:
Using this rule, we can rewrite as:
Step 3: Simplify the expression
Now, substitute this into the original expression:
Final simplified expression:
Would you like more details or have any questions about this simplification?
Here are some related questions for you:
- What happens when the exponent is a positive integer instead of negative?
- How do you handle fractional exponents in expressions like ?
- Can you simplify expressions with both positive and negative exponents?
- How would you simplify using the same process?
- What are the rules for exponents when multiplying two terms with the same base?
Tip: Remember, negative exponents are a way of representing division.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Formulas
a^{-n} = 1/a^n
Theorems
Exponent rules
Suitable Grade Level
Grades 7-9