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

.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

According to the Negative Exponent Rule, \( a^{-n} = \frac{1}{a^n} \).

To apply 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:

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

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