Math Problem Statement
(-n)^2(2n)^-1
Solution
Let's simplify the given expression:
Step 1: Simplify
Squaring gives:
Step 2: Simplify
The exponent means taking the reciprocal, so:
Step 3: Combine both parts
Now, combine and :
Step 4: Simplify the fraction
Cancel one from the numerator and denominator:
Final Answer:
Would you like more details or have any questions about this process? Here are some related questions:
- How would the result change if the exponent on was negative instead of positive?
- Can you simplify an expression with multiple variables in a similar way?
- What happens if the exponent of the term is fractional?
- How would you solve expressions involving negative exponents and roots?
- How do you handle cases where both terms have negative exponents?
Tip: When simplifying expressions with negative exponents, always remember that a negative exponent means the reciprocal of the base raised to the positive exponent.
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Fraction Simplification
Formulas
a^m * a^n = a^(m+n)
(a^m)^n = a^(m*n)
a^(-n) = 1 / a^n
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10