. 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:

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