Property of Indices:

a^m * aⁿ = a^{m + n}

a^m / aⁿ = a^{m - n}

( a^m ) ⁿ = a^{m * n}

( ab )ⁿ = aⁿ * bⁿ

( a / b )ⁿ = aⁿ / bⁿ

( a )^-n = 1 / aⁿ

( a )^1/n = n√ a

( a )⁰ = 1

Property of Surd:

n√ a = ( a )^1/n

n√ ab = ( a )^1/n * ( b )^1/n

n√ a/b = n√ a / n√ b

[ n√ a ]ⁿ = a

m√ n√ a = mn√ a

[ n√ a ]^m =( a )^m/n

Let's take 2 values 5√10 and 6√80

Find which is greater :

= 10^1⁄₅ and 80^1⁄₆

Now we will find the LCM of the denominator of the power value :
LCM = 30

= 10^6⁄₃₀ and 80^5⁄₃₀

= 1000000^1⁄₃₀ and 3276800000^1⁄₃₀

So, the greatest value is : 3276800000