Math Problem Statement

-2^2

Solution

The expression 22-2^2 can be a bit confusing due to the placement of the negative sign and the exponent. According to the order of operations (PEMDAS/BODMAS), exponents are evaluated before the negation.

Here’s how it works:

22=(22)=(4)=4-2^2 = -(2^2) = -(4) = -4

So, 22-2^2 equals 4-4.

Would you like a more detailed explanation or have any questions? Here are 5 related questions you might find useful:

  1. What is the result of (2)2(-2)^2?
  2. How does the order of operations affect expressions with exponents and negative signs?
  3. What is the value of 32-3^2?
  4. How do you simplify (x2)-(x^2) for any value of xx?
  5. What is the difference between x2-x^2 and (x)2(-x)^2?

Tip: Always remember that in expressions like 22-2^2, the exponentiation happens before applying the negative sign.

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Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations

Formulas

a^n (Exponentiation)
PEMDAS/BODMAS (Order of Operations)

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8