Can you guys check my work to see if I did it right

the function is [(n^2)(2^n-1)]/(-5^n)

so what i did was use the nth root test and got (n^(2/n))/10..(is the lim of n^(2/n) equal to 1??..i just used my calculator for this..)

so the limit of that would be 1/10 <1 therefore converge

am i right?