We are giving the expression below and asked to simply
[tex](6n^5)^2[/tex]We can use the product rule, this formula tells us that when a product is raised to a power, every factor of the product is raised to the power.
We obey the product rule and the above expression becomes
[tex]6^2\times(n^5)^2[/tex]We then use the power rule. This formula tells us that when a power of a number is raised to another power, multiply the indices. This would then give,
[tex]\begin{gathered} 36\times n^{5\times2} \\ =36n^{10} \end{gathered}[/tex]Therefore, the simplified expression gives:
ANSWER
[tex]36n^{10}[/tex]