Question

Simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer 1

`2p^2`

Explanation:

Step 1: Apply the exponentiation property:

`(8p^6)^(1)/(3) = 8^(1)/(3) * (p^6)^(1)/(3)`

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

`8^(1)/(3) =2`

Step 3: Simplify the cube root of
`(p^6)`:

The cube root of
`(p^6)` is
`p^(6)/(3) =p^2`

Step 4: Combine the simplified terms:

`2 * p^2`

So, the simplified expression is
`2p^2`.