Question
Simplify the expression
Ta3Lnshtu
Evaluate
Shui÷Si÷Ti÷ha÷Lian÷shi÷ta÷i
Use the commutative property to reorder the terms
iShu÷Si÷Ti÷ha÷Lian÷shi÷ta÷i
Use the commutative property to reorder the terms
iShu÷iS÷Ti÷ha÷Lian÷shi÷ta÷i
Divide the terms
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Evaluate
iShu÷iS
Rewrite the expression
iSiShu
Reduce the fraction
iihu
Reduce the fraction
hu
hu÷Ti÷ha÷Lian÷shi÷ta÷i
Use the commutative property to reorder the terms
hu÷iT÷ha÷Lian÷shi÷ta÷i
Divide the terms
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Evaluate
hu÷iT
Rewrite the expression
iThu
Divide the terms
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Evaluate
i1
Multiply by the Conjugate
i×ii
Calculate
−1i
Calculate
−i
T−ihu
Use b−a=−ba=−ba to rewrite the fraction
−Tihu
(−Tihu)÷ha÷Lian÷shi÷ta÷i
Divide the terms
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Evaluate
(−Tihu)÷ha
Multiply by the reciprocal
−Tihu×ha1
Cancel out the common factor h
−Tiu×a1
Multiply the terms
−Taiu
(−Taiu)÷Lian÷shi÷ta÷i
Use the commutative property to reorder the terms
(−Taiu)÷iLan÷shi÷ta÷i
Divide the terms
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Evaluate
(−Taiu)÷iLan
Multiply by the reciprocal
−Taiu×iLan1
Cancel out the common factor i
−Tau×Lan1
Multiply the terms
−TaLanu
Multiply the terms
−Ta2Lnu
(−Ta2Lnu)÷shi÷ta÷i
Use the commutative property to reorder the terms
(−Ta2Lnu)÷ish÷ta÷i
Divide the terms
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Evaluate
(−Ta2Lnu)÷ish
Multiply by the reciprocal
−Ta2Lnu×ish1
Multiply the terms
−Ta2Lnishu
Use the commutative property to reorder the terms
−iTa2Lnshu
(−iTa2Lnshu)÷ta÷i
Divide the terms
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Evaluate
(−iTa2Lnshu)÷ta
Multiply by the reciprocal
−iTa2Lnshu×ta1
Multiply the terms
−iTa2Lnshtau
Multiply the terms
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Evaluate
a2×a
Use the product rule an×am=an+m to simplify the expression
a2+1
Add the numbers
a3
−iTa3Lnshtu
(−iTa3Lnshtu)÷i
Multiply by the reciprocal
−iTa3Lnshtu×i1
Multiply the terms
−iTa3Lnshtiu
Multiply the terms
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Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
−−Ta3Lnshtu
Solution
Ta3Lnshtu
Show Solution

Find the excluded values
S=0,T=0,h=0,a=0,L=0,n=0,s=0,t=0
Evaluate
Shui÷Si÷Ti÷ha÷Lian÷shi÷ta÷i
To find the excluded values,set the denominators equal to 0
Si=0Ti=0ha=0Lan=0sh=0ta=0
Solve the equations
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Evaluate
Si=0
Use the commutative property to reorder the terms
iS=0
Rewrite the expression
S=0
S=0Ti=0ha=0Lan=0sh=0ta=0
Solve the equations
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Evaluate
Ti=0
Use the commutative property to reorder the terms
iT=0
Rewrite the expression
T=0
S=0T=0ha=0Lan=0sh=0ta=0
Solve the equations
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Evaluate
ha=0
Separate the equation into 2 possible cases
h=0a=0
Find the union
a=0h=0
S=0T=0h=0a=0Lan=0sh=0ta=0
Separate the equation into 3 possible cases
S=0T=0h=0a=0L=0a=0n=0sh=0ta=0
Solve the equations
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Evaluate
sh=0
Separate the equation into 2 possible cases
s=0h=0
Find the union
h=0s=0
S=0T=0h=0a=0L=0a=0n=0s=0h=0ta=0
Solve the equations
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Evaluate
ta=0
Separate the equation into 2 possible cases
t=0a=0
Find the union
a=0t=0
S=0T=0h=0a=0L=0a=0n=0s=0h=0t=0a=0
Solution
S=0,T=0,h=0,a=0,L=0,n=0,s=0,t=0
Show Solution
