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

Question

.(1 point)

Answer 1

To apply the Negative Exponent Rule, we need to recognize that \( a^{-n} = \frac{1}{a^n} \).

Given the expression \( 3^{-1/2} \), we can rewrite it using the Negative Exponent Rule as follows:

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

Now, since \( 3^{1/2} \) is equal to the square root of 3, we can express it further:

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

Thus, an equivalent expression to \( 3^{-1/2} \) is:

\[ \frac{1}{\sqrt{3}} \]