Answer:
Option 1st is correct
[tex]c^{18}[/tex] is the correct simplification of the expression [tex](c^2)^9[/tex]
Step-by-step explanation:
Using exponent rules:
[tex](a^n)^m = a^{nm}[/tex]
Given the expression:
[tex](c^2)^9[/tex]
Apply the exponent rules:
⇒[tex]c^{2 \cdot 9}[/tex]
Simplify:
[tex]c^{18}[/tex]
Therefore, the correct simplification of the expression [tex](c^2)^9[/tex] is, [tex]c^{18}[/tex]
