How do you simplify $\frac{1}{{(2 i)}^{3}}$ $1/(2i)^3$ ?

Question

How do you simplify $\frac{1}{{(2 i)}^{3}}$ $1/(2i)^3$ ?

1 Answer

Impact of this question

4409 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-16T08:36:30

$\frac{1}{{(2 i)}^{3}} = - \frac{1}{8 i}$ $1/(2i)^3=-1/(8i)$

Explanation:

$\frac{1}{{(2 i)}^{3}} = \frac{1}{2^{3} i^{3}} = \frac{1}{8} \times \frac{1}{i^{3}} = \frac{1}{8} \times \frac{1}{i^{2}} \times \frac{1}{i} = \frac{1}{8} \times (\frac{1}{- 1}) \times \frac{1}{i}$ $1/(2i)^3=1/(2^3i^3)=1/8xx1/i^3=1/8xx1/i^2xx1/i=1/8xx(1/-1)xx1/i$

$= - \frac{1}{8 i}$ $=-1/(8i)$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{1}{{(2 i)}^{3}}$ $1/(2i)^3$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 1(2i)31/(2i)^3?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{1}{{(2 i)}^{3}}$ $1/(2i)^3$ ?