Question

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

Answer 1

Answer:

zero (0)

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

Step-by-step 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:  $\frac{2}{2} =1$

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 $\frac{a^{m} }{a^{n}} =a^{m-n}$, so $\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1$