We are given expression : [tex](\frac{c^6}{c^2})^5.[/tex].
We need to simplify it.
First we need to apply quotient rule of exponents.
According to quotient rule of exponents, we need to subtract powers.
Therefore, [tex]\frac{c^6}{c^2} = c^{6-2} = c^4[/tex].
Now, we need to apply exponents of exponent rule in next step.
According to exponents of exponent rule, we need to distribute whole exponent inside exponent.
Therefore, [tex](c^4)^5 = c^{4\times5}= c^{20}[/tex].