What is the result when 5 is raised to the zero power?

When any non-zero number is raised to the zero power, the result is always 1. This principle is an established rule in mathematics and is derived from the properties of exponents.

To understand this, consider the pattern that emerges when we decrement the exponent of a number. For example:

• (5^3 = 125)

• (5^2 = 25)

• (5^1 = 5)

• (5^0) can be thought of in relation to (5^1).

According to the rule of exponents, dividing a number by itself when decreasing the exponent (in this case dividing by 5) gives:

[

5^1 / 5^1 = 5^0 = 1.

]

Thus, we see that raising any number to the zero power means that you are essentially finding a way to maintain the consistency of the meaning of exponents, leading to the conclusion that the answer is indeed 1.

Other choices do not align with this mathematical rule, as 0 is not a result of any number raised to a zero power, and 5 and 10 are simply the base numbers used in this context.