Question

Simple question. Is `[x^(-1/2)][ x^(1/2)]= 1`?

Answer 1

Yes

Explanation:

Recall that if we have two exponents, `x^a` and `x^b`, their product is given by `x^(a+b)`.

Since we have the same base, we can just add the exponents.

`x^(-1/2+1/2)=color(steelblue)(x^0=1)`

This does indeed evaluate to `1`.

Hope this helps!