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Popular >

simplify (pi/2)^{-2}

Solution

simplify

(\frac{π}{2})^{- 2}

Solution

\frac{4}{π ^{2}}

+1

Solution steps

(\frac{π}{2})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( \frac{π}{2} ) ^{2}}

(\frac{π}{2})^{2} = \frac{π ^{2}}{2 ^{2}}

= \frac{1}{\frac{π ^{2}}{2 ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 ^{2}}{π ^{2}}

2^{2} = 4

= \frac{4}{π ^{2}}

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Frequently Asked Questions (FAQ)

What is (pi/2)^{-2} ?
The solution to (pi/2)^{-2} is 4/(pi^2)