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

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

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

simplify

\frac{2 π}{\frac{2 π}{5}}

5

Solution steps

\frac{2 π}{\frac{2 π}{5}}

Apply the fraction rule:

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

= \frac{2 π 5}{2 π}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10 π}{2 π}

Divide the numbers:

\frac{10}{2} = 5

= \frac{5 π}{π}

Cancel the common factor:

π

= 5

(x + 7)^{2} (x + 4) (x - 1) > 0

∣ 2 x - 4 + 5 x - 3 ∣ \geq 8

8 x^{2} - 18 x - 5

m (m - 3) = 0

\frac{2 x + 1}{x - 2} \leq 3