Question

When the exponent blank is applied to a nonzero base, the result is always 1

Answer 1

zero (0)

when the exponent 0 is applied to a nonzero base, the result is always 1

Explanation:

Acoording to the zero power rule, a non zero number raised to the power 0 is always 1:

`a^(0) =1` whit
`a=0`

Let's check this property using an example:

We know that a quantity over itself is always 1:
`(2)/(2) =1`

We also know that a base without exponent is always raised to the power 1:
`2=2^(1)`

Now, according to the division power rule
`(a^(m) )/(a^(n)) =a^(m-n)`, so
`(2)/(2) =(2^(1) )/(2^(1) ) =2^(1-1) =2^(0) =1`