Question
6 to the exponent -1/2
Answers
GPT-4o mini
To calculate \( 6^{-1/2} \), we can use the properties of exponents. The expression \( a^{-n} \) is equal to \( \frac{1}{a^n} \), so:
\[
6^{-1/2} = \frac{1}{6^{1/2}}
\]
Next, \( 6^{1/2} \) is the square root of 6:
\[
6^{1/2} = \sqrt{6}
\]
Thus, we can rewrite \( 6^{-1/2} \) as:
\[
6^{-1/2} = \frac{1}{\sqrt{6}}
\]
If you want a numerical approximation, \( \sqrt{6} \) is approximately 2.45, so:
\[
6^{-1/2} \approx \frac{1}{2.45} \approx 0.408
\]
In summary:
\[
6^{-1/2} = \frac{1}{\sqrt{6}} \approx 0.408
\]
\[
6^{-1/2} = \frac{1}{6^{1/2}}
\]
Next, \( 6^{1/2} \) is the square root of 6:
\[
6^{1/2} = \sqrt{6}
\]
Thus, we can rewrite \( 6^{-1/2} \) as:
\[
6^{-1/2} = \frac{1}{\sqrt{6}}
\]
If you want a numerical approximation, \( \sqrt{6} \) is approximately 2.45, so:
\[
6^{-1/2} \approx \frac{1}{2.45} \approx 0.408
\]
In summary:
\[
6^{-1/2} = \frac{1}{\sqrt{6}} \approx 0.408
\]