Question

Evaluate the following:

`(216)^(4/3)`

Answer 1

Given: `(216)^(4/3)`

Step-wise calculation:

1. Express the exponent in radical form:

`(216)^(4/3) = ((216)^(1/3))^4`

2. Find the cube root of 216:

216 = 6³

⇒ `(216)^(1/3) = 6`

3. Raise the result to the 4th power:

6⁴ = 6 × 6 × 6 × 6

6⁴ = 1296