What is the value of 8 to the power of 0?

The value of any non-zero number raised to the power of zero is defined to be 1. This is a fundamental property of exponents in mathematics.

When you consider the expression ( a^n ), where ( a ) is any non-zero number and ( n ) is a positive integer, it follows that you can express ( a^n ) in terms of ( a^{n-1} ):

[

a^n = a \times a^{n-1}

]

If you let ( n = 1 ), then:

[

a^1 = a \times a^0

]

To isolate ( a^0 ), you can rearrange this as follows:

[

a^0 = \frac{a^1}{a}

]

As long as ( a ) is not zero, ( \frac{a}{a} = 1). Hence, ( a^0 = 1) regardless of the specific value of ( a ) (as long as it is non-zero).

In this case, since you are calculating ( 8^0 ), and applying this rule, the result is 1. This property is useful and often