What is ((7-5i))/(1-5i) ?

The solution to ((7-5i))/(1-5i) is 16/13+15/13 i

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simplify ((7-5i))/(1-5i)

simplify

\frac{( 7 - 5 i )}{1 - 5 i}

\frac{16}{13} + \frac{15}{13} i

Solution steps

\frac{7 - 5 i}{1 - 5 i}

Multiply by the conjugate

\frac{1 + 5 i}{1 + 5 i}

= \frac{( 7 - 5 i ) ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )}

Simplify

\frac{( 7 - 5 i ) ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )} : \frac{32 + 30 i}{26}

= \frac{32 + 30 i}{26}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{32}{26} + \frac{30}{26} i

Simplify

\frac{32}{26} + \frac{30}{26} i : \frac{16}{13} + \frac{15}{13} i

= \frac{16}{13} + \frac{15}{13} i

lo g_{10} (1 0^{- 12})

x^{4} y^{4} + x^{5} y^{2}

\frac{5}{3 2}

6 (5 x - 3)

\frac{2}{5} \div \frac{1}{5}