Question

What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction? One-sixth 0 1 undefined.

Answer 1

Remember always that any real number except 0 raised with exponent 0 evaluates to 1. The case for $0^0$ is still not universally defined in mathematical community.

The value of given expression is given by:

Option C: 1

Given that:

To evaluate the expression:  $\dfrac{1}{6^0}$

Raising any non zero real number to 0 exponent:

Any real number except 0 raised with exponent 0 evaluates to 1.

$x \in \mathbb R - \{0\} \\x^0 = 1$

Thus,

Raising 6 to the power 0:

$6^0 = 1$

Thus, we have:

$\dfrac{1}{6^0} = \dfrac{1}{1} = 1$

Thus, Option C: 1 is correct.

Learn more about exponents here:

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