Math Problem Statement

Calculate (5^2 - 4) / (2^2 - 1)

Solution

The expression you're asking to calculate is:

524221\frac{5^2 - 4}{2^2 - 1}

Let's break it down:

  1. Calculate 525^2, which is 2525.
  2. Calculate 222^2, which is 44.

Now, substitute these values into the expression:

25441=213=7\frac{25 - 4}{4 - 1} = \frac{21}{3} = 7

Thus, the result of the calculation is 77.

Do you need any more details or further clarification on this? Let me know!

Follow-up Questions:

  1. What is the order of operations in this problem?
  2. How would you handle a more complex fraction with larger exponents?
  3. What happens if you use negative exponents instead?
  4. How do you deal with division by zero in similar problems?
  5. 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