What is simplify-pi/(pi^2+(pi/4)^2) ?

The solution to simplify-pi/(pi^2+(pi/4)^2) is -(16)/(17pi)

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simplify-pi/(pi^2+(pi/4)^2)

simplify

- \frac{π}{π ^{2} + ( \frac{π}{4} ) ^{2}}

- \frac{16}{17 π}

Solution steps

- \frac{π}{π ^{2} + ( \frac{π}{4} ) ^{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= - \frac{π}{π ^{2} + \frac{π ^{2}}{4 ^{2}}}

4^{2} = 16

= - \frac{π}{π ^{2} + \frac{π ^{2}}{16}}

Join

π^{2} + \frac{π ^{2}}{16} : \frac{17 π ^{2}}{16}

= - \frac{π}{\frac{17 π ^{2}}{16}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= - \frac{16 π}{17 π ^{2}}

Cancel the common factor:

π

= - \frac{16}{17 π}

\frac{- 5 u + 4}{2} = \frac{u}{4}

\frac{x + 3}{x - 3} < 1

ln (3) = 2 y

\frac{3}{4} x + \frac{1}{3} \leq \frac{1}{12}

- 4 < 8

What is simplify-pi/(pi^2+(pi/4)^2) ?
The solution to simplify-pi/(pi^2+(pi/4)^2) is -(16)/(17pi)