Question
Simplify the expression
5j4
Evaluate
(5j)×9j−79j−4
Evaluate
5j×9j−79j−4
Dividing by an is the same as multiplying by a−n
5j×99j−4×j7
Reduce the fraction
5j×j−4×j7
Multiply the terms
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Evaluate
j−4×j7
Use the product rule an×am=an+m to simplify the expression
j−4+7
Add the numbers
j3
5j×j3
Solution
More Steps

Evaluate
j×j3
Use the product rule an×am=an+m to simplify the expression
j1+3
Add the numbers
j4
5j4
Show Solution

Find the roots
j∈∅
Evaluate
(5j)×9j−79j−4
To find the roots of the expression,set the expression equal to 0
(5j)×9j−79j−4=0
Find the domain
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Evaluate
{j=09j−7=0
Calculate
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Evaluate
9j−7=0
Rewrite the expression
j−7=0
Rearrange the terms
j71=0
Calculate
{1=0j7=0
The statement is true for any value of j
{j∈Rj7=0
The only way a power can not be 0 is when the base not equals 0
{j∈Rj=0
Find the intersection
j=0
{j=0j=0
Find the intersection
j=0
(5j)×9j−79j−4=0,j=0
Calculate
(5j)×9j−79j−4=0
Multiply the terms
5j×9j−79j−4=0
Divide the terms
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Evaluate
9j−79j−4
Use the product rule aman=an−m to simplify the expression
99j−4−(−7)
Reduce the fraction
99j3
Divide the terms
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Evaluate
99
Reduce the numbers
11
Calculate
1
j3
5j×j3=0
Multiply the terms
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Evaluate
j×j3
Use the product rule an×am=an+m to simplify the expression
j1+3
Add the numbers
j4
5j4=0
Rewrite the expression
j4=0
The only way a power can be 0 is when the base equals 0
j=0
Check if the solution is in the defined range
j=0,j=0
Solution
j∈∅
Show Solution
