Q.Simplify: $(3^2)^3$.

Raising a power to another power means multiplying the indices.

By the power-of-a-power law, multiply the two indices:

Evaluating: $3^6 = 3\times3\times3\times3\times3\times3 = 729$. …

Adding the exponents instead of multiplying them (wrongly computing $3^{2+3}=3^5=243$), a confusion with the product law rather than the power-of-a-power law — the two …