To rewrite the expression \( 3^{-1/2} \) using the negative exponent rule, we apply the rule, which states that \( a^{-n} = \frac{1}{a^{n}} \).
Thus, for \( 3^{-1/2} \):
\[ 3^{-1/2} = \frac{1}{3^{1/2}} \]
Since \( 3^{1/2} \) is equivalent to the square root of 3, we can further simplify:
\[ 3^{-1/2} = \frac{1}{\sqrt{3}} \]
So, an equivalent expression to \( 3^{-1/2} \) is:
\[ \frac{1}{\sqrt{3}} \]
1 answer