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Popular >

simplify ((2i)/n)^3

Solution

simplify

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

Solution

- \frac{8}{n ^{3}} i

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 2 i ) ^{3}}{n ^{3}}

Simplify

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

= \frac{8 i ^{3}}{n ^{3}}

Simplify

8 i^{3} : - 8 i

= \frac{- 8 i}{n ^{3}}

Rewrite in standard complex form:

- \frac{8}{n ^{3}} i

= - \frac{8}{n ^{3}} i

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Frequently Asked Questions (FAQ)

What is ((2i)/n)^3 ?
The solution to ((2i)/n)^3 is -8/(n^3)i