Verified Answer :

Answer:

Option 1st is correct

\(c^{18}\) is the correct simplification of the expression \((c^2)^9\)

Step-by-step explanation:

Using exponent rules:

\((a^n)^m = a^{nm}\)

Given the expression:

\((c^2)^9\)

Apply the exponent rules:

⇒\(c^{2 \cdot 9}\)

Simplify:

\(c^{18}\)

Therefore, the  correct simplification of the expression \((c^2)^9\) is, \(c^{18}\)

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