simplify 1/((2i)^3)

Solution

simplify

\frac{1}{( 2 i ) ^{3}}

\frac{1}{8} i

Solution steps

\frac{1}{( 2 i ) ^{3}}

Simplify

(2 i)^{3} : - 8 i

= \frac{1}{- 8 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{1 \cdot ( - i )}{- 8 i ( - i )}

Simplify

\frac{1 \cdot ( - i )}{- 8 i ( - i )} : \frac{- i}{- 8}

= \frac{- i}{- 8}

Rewrite in standard complex form:

\frac{1}{8} i

= \frac{1}{8} i

\frac{3}{4} \times 3

(y - 6) (y + 6)

125 + 920

- 4 (z + 3) - 4 (5 - 4 z)

\frac{5}{x - 7} - \frac{7}{x ^{2} - x - 42}