Answer:
3
Step-by-step explanation:
given the expression (3³)² = n⁶, we are to find the value of n.
To do that we will apply one of the laws of indices shown
[tex](a^m)^n = a^{mn}[/tex]
Applying the law to the question
(3³)² = n⁶
[tex]3^{3*2} = n^6\\\\[/tex]
[tex]3^6 = n^6\\\\[/tex]
Since the power of both values at both sides are equal, they will cancel out to give;
[tex]3 = n[/tex]
Hence the value of n is 3
