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Popular >

expand ((3i)/n)^2

Solution

expand

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

Solution

- \frac{9}{n ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply exponent rule:

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

(3 i)^{2} = 3^{2} i^{2}

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

3^{2} i^{2} = - 9

= \frac{- 9}{n ^{2}}

Apply the fraction rule:

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

= - \frac{9}{n ^{2}}

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Frequently Asked Questions (FAQ)

What is expand ((3i)/n)^2 ?
The solution to expand ((3i)/n)^2 is -9/(n^2)