Question
Simplify the expression
−Le4i
Evaluate
8÷2Lei
Multiply the terms
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Multiply the terms
2Lei
Multiply the numbers
2eLi
Multiply the numbers
2eiL
8÷2eiL
Rewrite the expression
2eiL8
Calculate
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Evaluate
2ei8
Multiply by the Conjugate
2ei×i8i
Calculate
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Evaluate
2ei×i
Multiply
2ei2
Use i2=−1 to transform the expression
2e(−1)
Calculate
−2e
−2e8i
Rewrite the expression
−2e2×4i
Cancel out the common factor 2
−e4i
Use b−a=−ba=−ba to rewrite the fraction
−e4i
Reduce the fraction
−e4i
L−e4i
Solution
−Le4i
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Find the excluded values
L=0
Evaluate
8÷2Lei
To find the excluded values,set the denominators equal to 0
2Lei=0
Multiply the terms
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Evaluate
2Lei
Multiply the numbers
2eLi
Multiply the numbers
2eiL
2eiL=0
Solution
L=0
Show Solution
