Question

How do you write with fractional exponents `(sqrt t)`?

Answer 1

`sqrt(t) = t^(1/2)`

One law of exponents is `(x^a)^b = x^(ab)`

So we find:

`(t^(1/2))^2 = t^(1/2*2) = t^1 = t`

...as we would expect for a square root.