Step-by-step explanation:
For any nonzero real number a , the zero exponent rule of exponents states that [tex]a^{0} = 1[/tex]
In this case, we would use the zero exponent rule of exponents to simplify the expression to 1 . To see how this is done, let us begin with an example.
[tex]\frac{t^{8} }{t^{8} } = 1[/tex]
If we were to simplify the original expression using the quotient rule, we would have
[tex]\frac{t^{8} }{t^{8} } = t^{8-8} = t^{0}[/tex]
If we equate the two answers, the result is [tex]t^{0} =1[/tex] . This is true for any nonzero real number, or any variable representing a real number.
[tex]a^{0}=1[/tex]
The sole exception is the expression [tex]0^{0}[/tex] . This appears later in more advanced courses, but for now, we will consider the value to be undefined.
