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:
[tex]a^{0} =1[/tex] whit [tex]a=0[/tex]
Let's check this property using an example:
We know that a quantity over itself is always 1: [tex]\frac{2}{2} =1[/tex]
We also know that a base without exponent is always raised to the power 1: [tex]2=2^{1}[/tex]
Now, according to the division power rule [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex], so [tex]\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1[/tex]
