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Popular >

simplify (3/(2i^3))^2

Solution

simplify

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

Solution

- \frac{9}{4}

+1

Decimal Notation

- 2.25

Solution steps

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

Simplify

\frac{3}{2 i ^{3}} : \frac{3 i}{2}

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

Apply exponent rule:

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

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

Simplify

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

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

2^{2} = 4

= \frac{9 i ^{2}}{4}

Simplify

9 i^{2} : - 9

= \frac{- 9}{4}

Apply the fraction rule:

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

= - \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is (3/(2i^3))^2 ?
The solution to (3/(2i^3))^2 is -9/4