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Associative Property of Rational Numbers

14×19 equals ...

Question

$\frac{1}{4} \times \frac{1}{9}$ equals to

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Solution

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{tan}^{- 1} [\frac{1}{4}] + {tan}^{- 1} [\frac{2}{9}]

x = 9^{1 / 3} 9^{1 / 9} 9^{1 / 27} . . . \infty, y = 4^{1 / 3} 4^{- 1 / 9} 4^{1 / 27} 4^{- 1 / 81} . . . \infty,

z = \infty \sum r = 1 (1 + i)^{- r},

(x + y z)

x = 9^{1 / 3} 9^{1 / 9} 9^{1 / 27} . . . . . . \infty, y = 4^{1 / 3}, 4^{- 1 / 9}, 4^{1 / 27} . . . . . . . . \infty,

z = \infty \sum r = 1 (1 + i)^{- r}

a r g (x + y z)

{tan}^{- 1} (\frac{1}{4}) + {tan}^{- 1} (\frac{2}{9})

x = 9^{\frac{1}{3}} 9^{\frac{1}{9}} 9^{\frac{1}{27}} . . . . . \infty, y = 4^{\frac{1}{3}} 4^{\frac{- 1}{9}} 4^{\frac{1}{27}} . . . . \infty,

z = \sum_{r = 1}^{\infty} (1 + i)^{- r}

a r g (x + y z)

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