. Use the Negative Exponent Rule to generate an equivalent expression to 3 −1/2

Question

. Write your answer in radical form.(1 point)
3 −1/2 =

Answer 1

To use the Negative Exponent Rule, we start with the expression $3^{-1/2}$.

The Negative Exponent Rule states that $a^{-n}=\frac{1}{a^n}$. Thus, we can rewrite $3^{-1/2}$ as:

$$3^{-1/2}=\frac{1}{3^{1/2}}$$

Now, $3^{1/2}$ is the square root of 3, which can be written in radical form as $\sqrt{3}$. Therefore:

$$3^{-1/2}=\frac{1}{\sqrt{3}}$$

So the final answer in radical form is:

$$3^{-1/2}=\frac{1}{\sqrt{3}}$$