Solve \frac{5-i^3}{5i-3}

Evaluate

\frac{5 - i ^{3}}{5 i - 3}

Evaluate the power

More Steps

\frac{5 - ( - i )}{5 i - 3}

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

\frac{5 + i}{5 i - 3}

Multiply by the Conjugate

\frac{( 5 + i ) ( - 5 i - 3 )}{( 5 i - 3 ) ( - 5 i - 3 )}

Calculate

More Steps

\frac{- 10 - 28 i}{( 5 i - 3 ) ( - 5 i - 3 )}

Calculate

More Steps

\frac{- 10 - 28 i}{34}

Rewrite the expression

\frac{2 ( - 5 - 14 i )}{34}

Cancel out the common factor 2

\frac{- 5 - 14 i}{17}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{5 + 14 i}{17}

Solution

- \frac{5}{17} - \frac{14}{17} i

Simplify the expression