Multiplying Monomials with Radical Indices in Algebra II/Trig Honors

[lj19]

Thanks, I think that explanation has to do with another part of the lesson in my notes called "Finding the smallest value and smallest integral value"?
What monomial would give me x*x*x*x then? I know it would have to have an index of four. But what exponent would it have to have?

 

[Inferior89]

x*x*x*x = x^4

$$\sqrt[4]{x^4} = x$$

$$\sqrt[4]{x^4} = (x^4)^{1/4} = x^{4\cdot 1/4} = x^1 = x$$