Answer :

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]