An indicie rule states that
[tex] { ({a}^{m}) }^{n} = {a}^{m \times n} [/tex]
So,
[tex] { ({c}^{0}) }^{ - \frac{1}{4} } = {c}^{0 \times - \frac{1}{4} } [/tex]
Anything multiplied by 0 gives 0 as a product, leaving us with
[tex] {c}^{0} [/tex]
And another indicie law states that anything to the power of 0 equals 1, so
[tex] {c}^{0} = 1[/tex]
And thus the answer is 1.
