Math Problem Statement

-(-1)^4

Solution

The expression (1)4-(-1)^4 can be evaluated as follows:

  1. First, calculate (1)4(-1)^4: (1)4=(1)×(1)×(1)×(1)=1(-1)^4 = (-1) \times (-1) \times (-1) \times (-1) = 1

  2. Now, the expression becomes 1-1, since the negative sign outside the parentheses negates the result of (1)4(-1)^4: 1-1

So, (1)4=1-(-1)^4 = -1.

Would you like more details or have any questions about this?

Here are 5 related questions:

  1. What is (1)5(-1)^5?
  2. How does the sign change when raising negative numbers to even or odd powers?
  3. What is the difference between xn-x^n and (x)n(-x)^n?
  4. How do powers of negative numbers affect complex numbers?
  5. Can you explain how exponents are applied in different steps in solving expressions?

Tip: When raising negative numbers to an even power, the result is always positive.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers of negative numbers

Formulas

(-1)^n
-x^n = -(x^n)

Theorems

Even and odd powers of negative numbers

Suitable Grade Level

Grades 6-8