Question

Solve for

\[n\].
\[\left(8^n\right)^{3}=8^6\]
\[n=\]

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can simplify the left side of the equation by using the property of exponents that states $(a^b)^c=a^{b\cdot c}$. Applying this rule, we get $8^{3n}=8^6$.

In order for two powers with the same base to be equal, their exponents must be equal. Therefore, $3n=6$.

Dividing both sides of the equation by 3, we find $n=\boxed{2}$.