The zero exponent rule states that any non-zero number raised to the power of zero equals 1.
Understanding the Zero Exponent Rule
According to the zero power rule, if the exponent is zero, the result is 1, regardless of the base value. This is a fundamental rule in algebra that simplifies many calculations and expressions.
Example
- \(7^0 = 1\)
In this example, the base is 7, and the exponent is 0. Applying the zero exponent rule, the result is 1.
Further Examples
Here are more examples illustrating the zero exponent rule:
| Expression | Result | Explanation |
|---|---|---|
| 5⁰ | 1 | Any non-zero number (5 in this case) raised to the power of 0 equals 1. |
| (-3)⁰ | 1 | Even a negative number (-3) raised to the power of 0 equals 1. |
| (1/2)⁰ | 1 | A fraction (1/2) raised to the power of 0 equals 1. |
| x⁰ | 1 | An algebraic variable 'x' (where x ≠ 0) raised to the power of 0 equals 1. |
| (a+b)⁰ | 1 | An expression (a+b) (where a+b ≠ 0) raised to the power of 0 equals 1. |
Important Note
The zero exponent rule applies to any base except zero itself. 0⁰ is undefined.
