Using this example, explain why any nonzero number raised to a power of zero is equal to one.(1 point)
Let's consider the example of 5 raised to the power of 0 (5^0). According to the exponent rule, any number (except zero) raised to the power of 0 is equal to 1.
To understand why this is the case, let's break it down:
5^0 = 5^(1-1) (using the property a^m/a^n = a^(m-n))
= 5^1 / 5^1 (using the property a^m / a^m = 1)
= 5 / 5
= 1
Therefore, 5^0 equals 1. This same reasoning can be applied to any nonzero number raised to the power of 0, leading to the conclusion that any nonzero number raised to the power of 0 is equal to 1.