Question
Simplify the expression
950+1441i
Evaluate
51810−81÷18i
Covert the mixed number to an improper fraction
More Steps

Convert the expressions
51810
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
185×18+10
Multiply the terms
1890+10
Add the terms
18100
18100−81÷18i
Divide the terms
More Steps

Evaluate
81÷18i
Multiply by the reciprocal
81×18i1
To multiply the fractions,multiply the numerators and denominators separately
8×18i1
Multiply the numbers
144i1
Multiply by the Conjugate
144i×ii
Calculate
More Steps

Evaluate
144i×i
Multiply
144i2
Use i2=−1 to transform the expression
144(−1)
Calculate
−144
−144i
Use b−a=−ba=−ba to rewrite the fraction
−144i
Reduce the fraction
−1441i
18100−(−1441i)
Rewrite the expression
950−(−1441i)
Solution
950+1441i
Show Solution
