Math Problem Statement
To simplify this expression, first find the base of the exponential term. Then simplify the expression. 3x^-2 The base of the exponential term is
Solution
The expression you provided is .
The exponential term here is . The base of the exponential term is , because the exponent is applied to .
Now, let's simplify the expression :
- By the rule of exponents, , so:
So, the simplified form of the expression is .
Let me know if you'd like more details on any part of the process!
Here are 5 related questions to explore further:
- How do negative exponents work in general?
- Can you simplify the expression ?
- What happens when you have multiple negative exponents in a product like ?
- How can you combine terms with negative exponents?
- What is the difference between and ?
Tip: To simplify terms with negative exponents, always move the term with the negative exponent to the denominator and change the sign of the exponent to positive.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Algebraic Expressions
Formulas
x^{-n} = \frac{1}{x^n}
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10
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