Question
Simplify the expression
ea3
Evaluate
iae×ia×a
Divide the terms
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Evaluate
i1
Multiply by the Conjugate
i×ii
Calculate
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Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
−1i
Calculate
−i
iae(−ia)a
Rewrite the expression
−iaeia×a
Multiply the terms with the same base by adding their exponents
−ia1+1+1ei
Add the numbers
−ia3ei
Multiply the terms
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Evaluate
ia3ei
Multiply the numbers
eia3i
Multiply the numbers
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Evaluate
ei×i
Multiply
ei2
Use i2=−1 to transform the expression
e(−1)
Calculate
−e
−ea3
−(−ea3)
Solution
ea3
Show Solution

Find the roots
a=0
Evaluate
iae×ia×a
To find the roots of the expression,set the expression equal to 0
iae×ia×a=0
Divide the terms
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Evaluate
i1
Multiply by the Conjugate
i×ii
Calculate
More Steps

Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
−1i
Calculate
−i
iae(−ia)a=0
Multiply the terms
More Steps

Multiply the terms
iae(−ia)a
Rewrite the expression
−iaeia×a
Multiply the terms with the same base by adding their exponents
−ia1+1+1ei
Add the numbers
−ia3ei
Multiply the terms
More Steps

Evaluate
ia3ei
Multiply the numbers
eia3i
Multiply the numbers
−ea3
−(−ea3)
Multiply the first two terms
ea3
ea3=0
Rewrite the expression
a3=0
Solution
a=0
Show Solution
