Math Problem Statement
-2^0 + (-8)^0
Solution
The expression given is:
Step-by-step simplification:
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Evaluate : Any non-zero number raised to the power of 0 is 1. So: Therefore, .
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Evaluate : Again, any non-zero number raised to the power of 0 is 1, regardless of whether it is negative or positive. So:
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Combine the results:
Thus, the simplified expression is:
Would you like more details on any part of this process?
Related Questions:
- What is the general rule for any number raised to the power of 0?
- How does the placement of a negative sign affect exponentiation?
- Why is rather than -1?
- Can zero raised to any power be simplified the same way?
- 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.
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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