Math Problem Statement

-2^0 + (-8)^0

Solution

The expression given is:

20+(8)0-2^0 + (-8)^0

Step-by-step simplification:

  1. Evaluate 202^0: Any non-zero number raised to the power of 0 is 1. So: 20=12^0 = 1 Therefore, 20=1-2^0 = -1.

  2. Evaluate (8)0(-8)^0: Again, any non-zero number raised to the power of 0 is 1, regardless of whether it is negative or positive. So: (8)0=1(-8)^0 = 1

  3. Combine the results: 1+1=0-1 + 1 = 0

Thus, the simplified expression is:

0\boxed{0}

Would you like more details on any part of this process?

Related Questions:

  1. What is the general rule for any number raised to the power of 0?
  2. How does the placement of a negative sign affect exponentiation?
  3. Why is (8)0=1(-8)^0 = 1 rather than -1?
  4. Can zero raised to any power be simplified the same way?
  5. What happens when the exponent is negative instead of zero?

Tip: Remember, any non-zero number raised to the power of zero always equals 1, regardless of its sign.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponentiation
Algebra

Formulas

x^0 = 1, for any non-zero number x

Theorems

Exponentiation Rule: Any non-zero number raised to the power of 0 is 1

Suitable Grade Level

Grades 6-8