Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
eE2u3n2Nl2v
Evaluate
vn÷EunNeunEul÷ln
Rewrite the expression in exponential form
vn÷Eu3nNenEl÷ln
Multiply
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Multiply the terms
Eu3nNenEl
Multiply the terms
E2u3nNenl
Multiply the terms
E2u3n2Nel
Use the commutative property to reorder the terms
eE2u3n2Nl
vn÷eE2u3n2Nl÷ln
Divide the terms
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Evaluate
vn÷eE2u3n2Nl
Rewrite the expression
eE2u3n2Nlvn
Use the product rule aman=an−m to simplify the expression
eE2u3n2−1Nlv
Reduce the fraction
eE2u3nNlv
eE2u3nNlv÷ln
Multiply by the reciprocal
eE2u3nNlv×ln1
Multiply the terms
eE2u3nNl×lnv
Solution
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Evaluate
eE2u3nNl×ln
Multiply the terms
eE2u3nNl2n
Multiply the terms
eE2u3n2Nl2
eE2u3n2Nl2v
Show Solution
Find the excluded values
E=0,u=0,n=0,N=0,l=0
Evaluate
vn÷EunNeunEul÷ln
To find the excluded values,set the denominators equal to 0
EunNunEul=0ln=0
Solve the equations
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Evaluate
EunNunEul=0
Simplify
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Evaluate
EunNunEul
Rewrite the expression in exponential form
Eu3nNnEl
Multiply the terms
E2u3nNnl
Multiply the terms
E2u3n2Nl
E2u3n2Nl=0
Separate the equation into 5 possible cases
E2=0u3=0n2=0N=0l=0
The only way a power can be 0 is when the base equals 0
E=0u3=0n2=0N=0l=0
The only way a power can be 0 is when the base equals 0
E=0u=0n2=0N=0l=0
The only way a power can be 0 is when the base equals 0
E=0u=0n=0N=0l=0
Find the union
E=0N=0l=0n=0u=0
E=0u=0n=0N=0l=0ln=0
Separate the equation into 2 possible cases
E=0u=0n=0N=0l=0l=0n=0
Solution
E=0,u=0,n=0,N=0,l=0
Show Solution