Question
Simplify the expression
104001+20801i
Evaluate
401(10−50i1)
Divide the terms
More Steps

Evaluate
10−50i1
Multiply by the Conjugate
(10−50i)(10+50i)10+50i
Calculate
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Evaluate
(10−50i)(10+50i)
Use (a−b)(a+b)=a2−b2 to simplify the product
102−(50i)2
Evaluate the power
100−(50i)2
Evaluate the power
100−(−2500)
Calculate
2600
260010+50i
Rewrite the expression
260010(1+5i)
Cancel out the common factor 10
2601+5i
Simplify
2601+521i
401(2601+521i)
Apply the distributive property
401×2601+401×521i
Multiply the numbers
More Steps

Evaluate
401×2601
To multiply the fractions,multiply the numerators and denominators separately
40×2601
Multiply the numbers
104001
104001+401×521i
Solution
104001+20801i
Show Solution
