What is 1/2 i(1/3-18i) ?

The solution to 1/2 i(1/3-18i) is 9+1/6 i

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simplify 1/2 i(1/3-18i)

simplify

\frac{1}{2} i (\frac{1}{3} - 18 i)

9 + \frac{1}{6} i

Solution steps

\frac{1}{2} i (\frac{1}{3} - 18 i)

Apply the distributive law:

a (b - c) = ab - a c

\frac{1}{2} i (\frac{1}{3} - 18 i) = \frac{1}{2} i \frac{1}{3} - \frac{1}{2} i 18 i

= \frac{1}{2} i \frac{1}{3} - \frac{1}{2} i 18 i

Simplify

\frac{1}{2} i \frac{1}{3} - \frac{1}{2} i 18 i : \frac{1}{6} i + 9

= \frac{1}{6} i + 9

Rewrite in standard complex form:

9 + \frac{1}{6} i

= 9 + \frac{1}{6} i

∣ 3 (x + 2) ∣ > 9

4 x + 16

(- 2 i)^{2}

918

744