Question

Evaluate the following:

`(243)^(1/5)`

Answer 1

Given: `(243)^(1/5)`

Step-wise calculation:

1. Express 243 as a power of a prime number:

243 = 3⁵

2. Substitute into the expression:

`(243)^(1/5) = (3^5)^(1/5)`

3. Apply the power of a power property (a^m)ⁿ = a^{m × n}:

`(3^5)^(1/5) = 3^(5 xx 1/5)`

`(3^5)^(1/5) = 3^1`

4. Simplify:

3¹ = 3