Step-by-step explanation:
Given that: ⁶√(25)³
= (25³)^1/6 {since, n√a = a^1/n}
= 25^(3*1/6) {since, (a^m)^n = a^(mn)}
In power 3 will cancel 6 in two times.
so,
= (25)^1/2 {since, 25 = 5*5 = 5²}
= (5²)^1/2 {since, (a^m)^n = a^(mn)
= 5^(2*1/2)
In power 2 wI'll cancel 2 in one time.
= 5^1 = 5
Therefore, ⁶√(25)³ = 5Ans.