Remember always that any real number except 0 raised with exponent 0 evaluates to 1. The case for [tex]0^0[/tex] is still not universally defined in mathematical community.
The value of given expression is given by:
Option C: 1
To evaluate the expression: [tex]\dfrac{1}{6^0}[/tex]
Raising any non zero real number to 0 exponent:
Any real number except 0 raised with exponent 0 evaluates to 1.
[tex]x \in \mathbb R - \{0\} \\x^0 = 1[/tex]
Thus,
Raising 6 to the power 0:
[tex]6^0 = 1[/tex]
Thus, we have:
[tex]\dfrac{1}{6^0} = \dfrac{1}{1} = 1[/tex]
Thus, Option C: 1 is correct.
Learn more about exponents here:
https://brainly.com/question/15993626
