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Popular >

simplify ((3i)/n)^2

Solution

simplify

(\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}}

Simplify

(3 i)^{2} : 9 i^{2}

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

Simplify

9 i^{2} : - 9

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

Apply the fraction rule:

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

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

Popular Examples

simplify (m^{1/3})^{1/5}simplify

(m^{\frac{1}{3}})^{\frac{1}{5}}

- 2 x - 1 = 0

x(x^2+x)-(x+1)(x^2-2)=-4

x (x^{2} + x) - (x + 1) (x^{2} - 2) = - 4

factor 2x^2-50y^2 factor

2 x^{2} - 50 y^{2}

simplify ((2a-b)/b+1)/((2a+b)/b-1)simplify

\frac{\frac{2 a - b}{b} + 1}{\frac{2 a + b}{b} - 1}

Frequently Asked Questions (FAQ)

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