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Popular >

expand ((2i)/n)^2

Solution

expand

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

Solution

- \frac{4}{n ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

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

(2 i)^{2} = 2^{2} i^{2}

= \frac{2 ^{2} i ^{2}}{n ^{2}}

2^{2} i^{2} = - 4

= \frac{- 4}{n ^{2}}

Apply the fraction rule:

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

= - \frac{4}{n ^{2}}

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Frequently Asked Questions (FAQ)

What is expand ((2i)/n)^2 ?
The solution to expand ((2i)/n)^2 is -4/(n^2)