Question
Simplify the expression
13049−101i
Evaluate
13ii−1−3ii
Reduce the fraction
131−1−3ii
Divide the terms
More Steps

Evaluate
1−3ii
Multiply by the Conjugate
(1−3i)(1+3i)i(1+3i)
Calculate
More Steps

Evaluate
i(1+3i)
Apply the distributive property
i+i×3i
Multiply the numbers
i−3
Reorder the terms
−3+i
(1−3i)(1+3i)−3+i
Calculate
More Steps

Evaluate
(1−3i)(1+3i)
Use (a−b)(a+b)=a2−b2 to simplify the product
12−(3i)2
Evaluate the power
1−(3i)2
Evaluate the power
1−(−9)
Calculate
10
10−3+i
Use b−a=−ba=−ba to rewrite the fraction
−103−i
Simplify
−103+101i
131−(−103+101i)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
131+103−101i
Solution
13049−101i
Show Solution
