Question
Simplify the expression
3348864eiYu4HoShM1
Evaluate
19Mu18(Shui)×617Huo×616(Yue)×66
Remove the parentheses
19Mu18Shui×617Huo×616Yue×66
Reduce the fraction
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Evaluate
16Yue×66
Multiply the terms
96Yue6
Reduce the fraction
16Yue1
Simplify
16eYu1
19Mu18Shui×617Huo×616eYu1
Multiply the terms
19Mu18Shui×6102Huo16eYu1
Divide the terms
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Evaluate
102Huo16eYu1
Multiply by the reciprocal
16eYu1×102Huo1
Multiply the terms
16eYu×102Huo1
Multiply the terms
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Evaluate
16eYu×102Huo
Multiply the numbers
1632eYuHuo
Multiply the terms
1632eYu2Ho
1632eYu2Ho1
19Mu18Shui×61632eYu2Ho1
Multiply
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Multiply the terms
18Shui×6
Multiply the terms
108Shui
Multiply the numbers
108iShu
19Mu108iShu1632eYu2Ho1
Divide the terms
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Evaluate
108iShu1632eYu2Ho1
Multiply by the reciprocal
1632eYu2Ho1×108iShu1
Multiply the terms
1632eYu2Ho×108iShu1
Multiply the terms
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Evaluate
1632eYu2Ho×108iShu
Multiply the numbers
176256eiYu2HoShu
Multiply the terms
176256eiYu3HoSh
176256eiYu3HoSh1
19Mu176256eiYu3HoSh1
Multiply by the reciprocal
176256eiYu3HoSh1×19Mu1
Multiply the terms
176256eiYu3HoSh×19Mu1
Solution
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Evaluate
176256eiYu3HoSh×19Mu
Multiply the numbers
3348864eiYu3HoShMu
Multiply the terms
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Evaluate
u3×u
Use the product rule an×am=an+m to simplify the expression
u3+1
Add the numbers
u4
3348864eiYu4HoShM
3348864eiYu4HoShM1
Show Solution

Find the excluded values
Y=0,u=0,H=0,o=0,S=0,h=0,M=0
Evaluate
19(Mu)18(Shui)×617(Huo)×616(Yue)×66
To find the excluded values,set the denominators equal to 0
16(Yue)×6=017(Huo)×6=018(Shui)×6=019(Mu)=0
Solve the equations
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Evaluate
16(Yue)×6=0
Remove the parentheses
16Yue×6=0
Multiply
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Evaluate
16Yue×6
Multiply the terms
96Yue
Multiply the numbers
96eYu
96eYu=0
Evaluate
Yu=0
Separate the equation into 2 possible cases
Y=0u=0
Y=0u=017(Huo)×6=018(Shui)×6=019(Mu)=0
Solve the equations
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Evaluate
17Huo×6=0
Multiply the terms
102Huo=0
Evaluate
Huo=0
Separate the equation into 3 possible cases
H=0u=0o=0
Find the union
H=0o=0u=0
Y=0u=0H=0u=0o=018(Shui)×6=019(Mu)=0
Solve the equations
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Evaluate
18(Shui)×6=0
Remove the parentheses
18Shui×6=0
Multiply
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Evaluate
18Shui×6
Multiply the terms
108Shui
Multiply the numbers
108iShu
108iShu=0
Evaluate
Shu=0
Separate the equation into 3 possible cases
S=0h=0u=0
Y=0u=0H=0u=0o=0S=0h=0u=019(Mu)=0
Solve the equations
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Evaluate
19Mu=0
Evaluate
Mu=0
Separate the equation into 2 possible cases
M=0u=0
Y=0u=0H=0u=0o=0S=0h=0u=0M=0u=0
Solution
Y=0,u=0,H=0,o=0,S=0,h=0,M=0
Show Solution
