What is (125)/((136+i76.8)) ?

The solution to (125)/((136+i76.8)) is (17000)/(18496+5898.24)-(9600)/(18496+5898.24)i

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simplify (125)/((136+i76.8))

simplify

\frac{125}{( 136 + i 76.8 )}

\frac{17000}{18496 + 5898.24} - \frac{9600}{18496 + 5898.24} i

Solution steps

\frac{125}{136 + i 76.8}

Rewrite

136 + i 76.8

in standard complex form:

136 + 76.8 i

= \frac{125}{136 + 76.8 i}

Multiply by the conjugate

\frac{136 - 76.8 i}{136 - 76.8 i}

= \frac{125 ( 136 - 76.8 i )}{( 136 + 76.8 i ) ( 136 - 76.8 i )}

Simplify

\frac{125 ( 136 - 76.8 i )}{( 136 + 76.8 i ) ( 136 - 76.8 i )} : \frac{17000 - 9600 i}{18496 + 5898.24}

= \frac{17000 - 9600 i}{18496 + 5898.24}

Rewrite in standard complex form:

\frac{17000}{18496 + 5898.24} - \frac{9600}{18496 + 5898.24} i

= \frac{17000}{18496 + 5898.24} - \frac{9600}{18496 + 5898.24} i

\frac{24 x ^{6} y ^{3}}{56 x ^{4} y ^{7}}

3^{n} \cdot 3^{n}

37 \times 3

\frac{- sin ( x ) - 1}{( 1 + sin ( x ) ) ^{2}}

\frac{5}{3} \times \frac{6}{2}

What is (125)/((136+i76.8)) ?
The solution to (125)/((136+i76.8)) is (17000)/(18496+5898.24)-(9600)/(18496+5898.24)i