Question

How is 3^(3/2) equal to 3sqrt(3) ? steps/explanation? kthxbai

Answer 1

When you have a fractional exponent, the numerator is the exponent, and the denominator is the root.

Answer 2

So, we can rewrite like this:

Answer 3

Make sense so far, @ProfessionalDEEK?

Answer 4

\[\sqrt{3^3}=\sqrt{3^2*3}=3\sqrt{3}\]

Answer 5

please note that:
\[3\sqrt{3}=3\left( 3 \right)^{1/2}=3^{1+1/2}=...\]
what is \[1+\frac{ 1 }{ 2 }=...\]