Question

Help please guys thanks

Answer 1

`5`

Explanation:

`{ {(625}^(2) )}^{ (1)/(8) } \\ { ({25}^(2 * 2) )}^{ (1)/(8) } \\ {25}^{4 * (1)/(8) } \\ {5}^{2 * 4 * (1)/(8) } \\ {5}^{ (8)/(8) } \\ {5}^(1) \\ = 5`

Answer 2

5

Explanation:

(625 ^2)^(1/8)

Rewriting 625 as 5^4

(5^4 ^2)^(1/8)

We know that a^b^c = a^(b*c)

5^(4*2)^1/8

5^8 ^1/8

5^(8*1/8)

5^1

5