What is simplify-20/36 i^{-(-34)/(10)} ?

The solution to simplify-20/36 i^{-(-34)/(10)} is -(5i^{17/5})/9

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simplify-20/36 i^{-(-34)/(10)}

simplify

- \frac{20}{36} i^{- \frac{- 34}{10}}

- \frac{5 i ^{\frac{17}{5}}}{9}

Solution steps

- \frac{20}{36} i^{- \frac{- 34}{10}}

Apply exponent rule:

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

i^{- \frac{- 34}{10}} = \frac{1}{i ^{\frac{- 34}{10}}}

= - \frac{20}{36} \cdot \frac{1}{i ^{\frac{- 34}{10}}}

Simplify

i^{\frac{- 34}{10}} : \frac{1}{i ^{\frac{17}{5}}}

= - \frac{20}{36} \cdot \frac{1}{\frac{1}{i ^{\frac{17}{5}}}}

Simplify

\frac{1}{\frac{1}{i ^{\frac{17}{5}}}} : i^{\frac{17}{5}}

= - \frac{20}{36} i^{\frac{17}{5}}

Cancel

\frac{20}{36} : \frac{5}{9}

= - \frac{5}{9} i^{\frac{17}{5}}

Apply the fraction rule:

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

= - \frac{5 i ^{\frac{17}{5}}}{9}

⌊ 2.9 ⌋

(- 6 + 6 i)^{2}

e^{1} - e^{1}

\frac{200}{25}

- \frac{4}{3} - 5

What is simplify-20/36 i^{-(-34)/(10)} ?
The solution to simplify-20/36 i^{-(-34)/(10)} is -(5i^{17/5})/9