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

Question

.(1 point)

Answer 1

The Negative Exponent Rule states that \( a^{-n} = \frac{1}{a^n} \).

Applying this rule to the expression \( 3^{-1/2} \):

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

Since \( 3^{1/2} \) is the square root of 3, we can also express it as:

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

So, the equivalent expression is:

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