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In this lesson, we will learn how to evaluate, simplify, and multiply pure imaginary numbers and solve equations over the set of pure imaginary numbers.

Q1:

Simplify ( 2 π ) ( 3 π ) 3 2 .

Q2:

Simplify ( 2 π ) ( β 2 π ) 2 3 .

Q3:

Simplify ( 3 π ) ( β 2 π ) 2 3 .

Q4:

Solve the equation 2 π₯ = β 5 0 2 .

Q5:

Simplify 1 7 π ( β 5 π ) .

Q6:

Simplify β 1 7 π ( β 1 0 π ) .

Q7:

Simplify the expression π 3 .

Q8:

Determine the solution set of 4 π₯ + 1 1 1 = 7 5 2 over the set of complex numbers.

Q9:

Simplify 1 π β 3 9 .

Q10:

Simplify 1 π 2 7 .

Q11:

Simplify 1 π 4 5 .

Q12:

Solve the equation π₯ = β 1 6 2 .

Q13:

Simplify π β 5 4 .

Q14:

Simplify π 2 5 .

Q15:

Simplify π 4 0 .

Q16:

Simplify π 1 2 π + 3 9 , given that π β β€ + .

Q17:

Given that π is an integer, simplify π 1 6 π β 3 5 .

Q18:

Simplify β β 1 0 Γ β β 6 .

Q19:

Simplify π 2 9 .

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