Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−421
Alternative Form
−0.02˙38095˙
Evaluate
(211÷(2×i))2
Divide the terms
More Steps
Evaluate
211÷(2×i)
Multiply by the reciprocal
211×2×i1
To multiply the fractions,multiply the numerators and denominators separately
21×2×i1
Multiply the numbers
42×i1
Multiply by the Conjugate
42×i×ii
Calculate
More Steps
Evaluate
42×i×i
Multiply
42×i2
Use i2=−1 to transform the expression
42×(−1)
Calculate
−42
−42i
Use b−a=−ba=−ba to rewrite the fraction
−42i
Reduce the fraction
−421i
(−421i)2
Evaluate
(−421)2i2
Evaluate the power
More Steps
Evaluate
(−421)2
To raise a fraction to a power,raise the numerator and denominator to that power
(42)2(−1)2
Evaluate the power
(42)21
Reduce the index of the radical and exponent with 2
421
421i2
Solution
−421
Alternative Form
−0.02˙38095˙
Show Solution
