What is (2pi}{\frac{5pi)/4} ?

The solution to (2pi}{\frac{5pi)/4} is 8/5

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simplify (2pi}{\frac{5pi)/4}

simplify

\frac{2 π}{\frac{5 π}{4}}

\frac{8}{5}

Solution steps

\frac{2 π}{\frac{5 π}{4}}

Apply the fraction rule:

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

= \frac{2 π 4}{5 π}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{8 π}{5 π}

Cancel the common factor:

π

= \frac{8}{5}

\frac{5}{\frac{3}{2}}

x^{2} - 8 x + 15 > 0

5 \cdot 15

- x^{2} + 6 x - 8

2 < x - 7