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

Question

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Answer 1

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 \( \frac{1}{\sqrt{3}} \).