To rewrite the expression [tex]\( c^{-7} \)[/tex] without negative exponents, follow these steps:
1. Understand Negative Exponents: Recall that a negative exponent means that the base (in this case, [tex]\( c \)[/tex]) will be in the denominator with the exponent as a positive value. The mathematical property is [tex]\( a^{-n} = \frac{1}{a^n} \)[/tex].
2. Apply the Property: Use the above property to rewrite [tex]\( c^{-7} \)[/tex].
[tex]\[
c^{-7} = \frac{1}{c^7}
\][/tex]
So, the expression [tex]\( c^{-7} \)[/tex] rewritten without negative exponents is:
[tex]\[
\boxed{\frac{1}{c^7}}
\][/tex]