Question

rewrite 3over√5 using a rational exponent

Answer 1

To rewrite \( \frac{3}{\sqrt{5}} \) using a rational exponent, you can express the square root in terms of an exponent:

\[
\sqrt{5} = 5^{1/2}
\]

Thus, we can rewrite \( \frac{3}{\sqrt{5}} \) as:

\[
\frac{3}{\sqrt{5}} = \frac{3}{5^{1/2}} = 3 \cdot 5^{-1/2}
\]

So the expression \( \frac{3}{\sqrt{5}} \) can be written as:

\[
3 \cdot 5^{-1/2}
\]