Question

Why does `sqrt(x^6)` not equal `x^3`?

Answer 1

See an explanation below:

Explanation:

`sqrt(x^6) = abs(x^3)` not `x^3`

An example would be substituting `-2` for `x`:

`sqrt(-2^6) = sqrt(64) = 8`

`abs(-2^3) = abs(-8) = 8`

`-2^3 = -8`