Question
Simplify the expression
o3td2kc
Evaluate
c÷o÷t÷dkodo
Rewrite the expression
oc÷t÷dkodo
Divide the terms
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Evaluate
oc÷t
Multiply by the reciprocal
oc×t1
Multiply the terms
otc
otc÷dkodo
Multiply
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Multiply the terms
dkodo
Multiply the terms
d2ko×o
Multiply the terms
d2ko2
otc÷d2ko2
Multiply by the reciprocal
otc×d2ko21
Multiply the terms
otd2ko2c
Solution
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Evaluate
o×o2
Use the product rule an×am=an+m to simplify the expression
o1+2
Add the numbers
o3
o3td2kc
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Find the excluded values
o=0,t=0,d=0,k=0
Evaluate
c÷o÷t÷dkodo
To find the excluded values,set the denominators equal to 0
o=0t=0dkodo=0
Solve the equations
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Evaluate
dkodo=0
Multiply
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Evaluate
dkodo
Multiply the terms
d2ko×o
Multiply the terms
d2ko2
d2ko2=0
Separate the equation into 3 possible cases
d2=0k=0o2=0
The only way a power can be 0 is when the base equals 0
d=0k=0o2=0
The only way a power can be 0 is when the base equals 0
d=0k=0o=0
o=0t=0d=0k=0o=0
Solution
o=0,t=0,d=0,k=0
Show Solution
