GIVEN: \(x* = \frac{\pi}{x}\)
for example, \(10* = \frac{\pi}{10}\)
\(7* = \frac{\pi}{7}\)
\(4.6* = \frac{\pi}{4.6}\)
To calculate \((- \pi^*)^*\), we must first deal with the part in the brackets, \((-\pi^*)\)
\(-\pi^* = \frac{\pi}{-\pi} = -1\) just like \(\frac{3}{(-3)} = -1\), and \(\frac{22}{(-22)} = -1\)
Now that we know \(-\pi* = -1\), we can write: \((-\pi^*)^* = (-1)^*\)
Now, we'll calculate \((-1)^*\)
\(-1^* = \frac{\pi}{-1}= -\pi\) just like \(\frac{8}{(-1)} = -8\), and \(\frac{5.5}{(-1)} = -5.5\)
Answer:
CCheers,
Brent
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Brent Hanneson - founder of Greenlight Test Prep
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