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Popular >

expand ((3i)/n)^3

Solution

expand

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

Solution

- \frac{27 i}{n ^{3}}

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 i)^{3} = 3^{3} i^{3}

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

3^{3} i^{3} = - 27 i

= \frac{- 27 i}{n ^{3}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{27 i}{n ^{3}}

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Frequently Asked Questions (FAQ)

What is expand ((3i)/n)^3 ?
The solution to expand ((3i)/n)^3 is -(27i)/(n^3)