Question
Simplify the expression
−13400+12401i
Evaluate
i5−i512400−13400
Evaluate the power
More Steps

Evaluate
i5
Evaluate
i4+1
Calculate
11×i
Calculate
i
i5−i12400−13400
Evaluate the power
More Steps

Evaluate
i5
Evaluate
i4+1
Calculate
11×i
Calculate
i
i−i12400−13400
Divide the terms
More Steps

Evaluate
i12400
Multiply by the Conjugate
i×i12400i
Calculate
More Steps

Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
−112400i
Calculate
−12400i
i−(−12400i)−13400
Subtract the terms
More Steps

Evaluate
i−(−12400i)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
i+12400i
Collect like terms
(1+12400)i
Calculate
12401i
12401i−13400
Solution
−13400+12401i
Show Solution
