Question
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Answer
\( \left(\frac{3}{2}\right)^{-1} = \frac{2}{3} \)
Solution
Calculate or simplify the expression \( (3/2)^{-1} \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{3}{2}\right)^{-1}\)
- step1: Transform the expression:
\(\frac{2}{3}\)
The value of \( \left(\frac{3}{2}\right)^{-1} \) is \( \frac{2}{3} \) or \( 0.\dot{6} \).
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Simplify this solution Beyond the Answer
To solve \( \left(\frac{3}{2}\right)^{-1} \), remember that a negative exponent means we're looking for the reciprocal. So, \( \left(\frac{3}{2}\right)^{-1} = \frac{1}{\left(\frac{3}{2}\right)} = \frac{2}{3} \). Voila! You have successfully turned a fraction upside down, and now you’re good to go! Just a fun fact: Negative exponents can sometimes feel tricky, but they’re quite handy! In many scientific and engineering applications, especially in physics, dealing with reciprocals and negative powers can simplify complex equations or reveal relationships that aren’t immediately obvious. Always keep your inverse operations at the forefront!
