Answer:
The simplified expression for given expression is [tex]a^{6n^2+n-1}[/tex]
Step-by-step explanation:
Given:
[tex](a^{3n-1})^{2n+1}[/tex]
We need to simplify the given equation:
Solution:
[tex](a^{3n-1})^{2n+1}[/tex]
Now By using law of indices which states that;
[tex](x^m)^n = x^{mn}[/tex]
So Applying the same we get;
[tex]a^{(3n-1)(2n+1)}[/tex]
Now applying distributive property we get;
[tex]a^{6n^2+3n-2n-1}\\\\a^{6n^2+n-1}[/tex]
Hence The simplified expression for given expression is [tex]a^{6n^2+n-1}[/tex]
