Question
Simplify the expression
−1343952000e3C3h3n3g3J2a2You41
Evaluate
65Cheng×55Jia×61You×14Cheng×44Jia×51You×13Cheng×341You×1
Any expression multiplied by 1 remains the same
65Cheng×55Jia×61You×14Cheng×44Jia×51You×13Cheng×341You
Multiply
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Multiply the terms
3Cheng×3
Multiply the terms
9Cheng
Multiply the numbers
9eChng
65Cheng×55Jia×61You×14Cheng×44Jia×51You×19eChng41You
Multiply the terms
More Steps

Multiply the terms
4Jia×51You×1
Rewrite the expression
4Jia×51You
Multiply the terms
204JiaYou
Multiply the numbers
204iJaYou
65Cheng×55Jia×61You×14Cheng×4204iJaYou9eChng41You
Divide the terms
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Evaluate
204iJaYou9eChng41You
Multiply by the reciprocal
9eChng41You×204iJaYou1
Cancel out the common factor Y
9eChng41ou×204iJaou1
Cancel out the common factor o
9eChng41u×204iJau1
Cancel out the common factor u
9eChng41×204iJa1
Multiply the terms
9eChng×204iJa41
Multiply the numbers
1836eiChngJa41
65Cheng×55Jia×61You×14Cheng×41836eiChngJa41
Multiply
More Steps

Multiply the terms
4Cheng×4
Multiply the terms
16Cheng
Multiply the numbers
16eChng
65Cheng×55Jia×61You×116eChng1836eiChngJa41
Divide the terms
More Steps

Evaluate
16eChng1836eiChngJa41
Multiply by the reciprocal
1836eiChngJa41×16eChng1
Multiply the terms
1836eiChngJa×16eChng41
Multiply the terms
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Evaluate
1836eiChngJa×16eChng
Multiply the numbers
29376e2iChngJaChng
Multiply the terms
29376e2iC2hngJahng
Multiply the terms
29376e2iC2h2ngJang
Multiply the terms
29376e2iC2h2n2gJag
Multiply the terms
29376e2iC2h2n2g2Ja
29376e2iC2h2n2g2Ja41
65Cheng×55Jia×61You×129376e2iC2h2n2g2Ja41
Multiply the terms
More Steps

Multiply the terms
5Jia×61You×1
Rewrite the expression
5Jia×61You
Multiply the terms
305JiaYou
Multiply the numbers
305iJaYou
65Cheng×5305iJaYou29376e2iC2h2n2g2Ja41
Divide the terms
More Steps

Evaluate
305iJaYou29376e2iC2h2n2g2Ja41
Multiply by the reciprocal
29376e2iC2h2n2g2Ja41×305iJaYou1
Multiply the terms
29376e2iC2h2n2g2Ja×305iJaYou41
Multiply the terms
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Evaluate
29376e2iC2h2n2g2Ja×305iJaYou
Multiply the numbers
−8959680e2C2h2n2g2JaJaYou
Multiply the terms
−8959680e2C2h2n2g2J2a×aYou
Multiply the terms
−8959680e2C2h2n2g2J2a2You
−8959680e2C2h2n2g2J2a2You41
Reduce the fraction
8959680e2C2h2n2g2J2a2You−41
Use b−a=−ba=−ba to rewrite the fraction
−8959680e2C2h2n2g2J2a2You41
65Cheng×5−8959680e2C2h2n2g2J2a2You41
Multiply
More Steps

Multiply the terms
5Cheng×5
Multiply the terms
25Cheng
Multiply the numbers
25eChng
625eChng−8959680e2C2h2n2g2J2a2You41
Divide the terms
More Steps

Evaluate
25eChng−8959680e2C2h2n2g2J2a2You41
Multiply by the reciprocal
−8959680e2C2h2n2g2J2a2You41×25eChng1
Multiply the terms
−8959680e2C2h2n2g2J2a2You×25eChng41
Multiply the terms
More Steps

Evaluate
8959680e2C2h2n2g2J2a2You×25eChng
Multiply the numbers
223992000e3C2h2n2g2J2a2YouChng
Multiply the terms
223992000e3C3h2n2g2J2a2Youhng
Multiply the terms
223992000e3C3h3n2g2J2a2Young
Multiply the terms
223992000e3C3h3n3g2J2a2Youg
Multiply the terms
223992000e3C3h3n3g3J2a2You
−223992000e3C3h3n3g3J2a2You41
6−223992000e3C3h3n3g3J2a2You41
Multiply by the reciprocal
−223992000e3C3h3n3g3J2a2You41×61
Multiply the terms
−223992000e3C3h3n3g3J2a2You×641
Solution
−1343952000e3C3h3n3g3J2a2You41
Show Solution

Find the excluded values
C=0,h=0,n=0,g=0,J=0,a=0,Y=0,o=0,u=0
Evaluate
65Cheng×55Jia×61You×14Cheng×44Jia×51You×13Cheng×341You×1
To find the excluded values,set the denominators equal to 0
Chng=0JaYou=0
Solve the equations
More Steps

Evaluate
Chng=0
Separate the equation into 4 possible cases
C=0h=0n=0g=0
Find the union
C=0g=0h=0n=0
C=0h=0n=0g=0JaYou=0
Solve the equations
More Steps

Evaluate
JaYou=0
Separate the equation into 5 possible cases
J=0a=0Y=0o=0u=0
Find the union
J=0Y=0a=0o=0u=0
C=0h=0n=0g=0J=0a=0Y=0o=0u=0
Solution
C=0,h=0,n=0,g=0,J=0,a=0,Y=0,o=0,u=0
Show Solution
