Math Problem Statement
Calculate (5^2 - 4) / (2^2 - 1)
Solution
The expression you're asking to calculate is:
Let's break it down:
- Calculate , which is .
- Calculate , which is .
Now, substitute these values into the expression:
Thus, the result of the calculation is .
Do you need any more details or further clarification on this? Let me know!
Follow-up Questions:
- What is the order of operations in this problem?
- How would you handle a more complex fraction with larger exponents?
- What happens if you use negative exponents instead?
- How do you deal with division by zero in similar problems?
- Can you simplify the expression if there are other terms involved?
Tip: Always simplify the numerator and denominator separately before performing the final division to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Arithmetic Operations
Fractions
Formulas
Exponentiation rule: a^b
Basic fraction simplification
Theorems
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Suitable Grade Level
Grades 5-7