Question
Simplify the expression
z2
Evaluate
z−9z−7
Dividing by an is the same as multiplying by a−n
z−7×z9
Use the product rule an×am=an+m to simplify the expression
z−7+9
Solution
z2
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Find the roots
z∈∅
Evaluate
z−9z−7
To find the roots of the expression,set the expression equal to 0
z−9z−7=0
Find the domain
More Steps

Evaluate
{z=0z−9=0
Calculate
More Steps

Evaluate
z−9=0
Rearrange the terms
z91=0
Calculate
{1=0z9=0
The statement is true for any value of z
{z∈Rz9=0
The only way a power can not be 0 is when the base not equals 0
{z∈Rz=0
Find the intersection
z=0
{z=0z=0
Find the intersection
z=0
z−9z−7=0,z=0
Calculate
z−9z−7=0
Divide the terms
More Steps

Evaluate
z−9z−7
Use the product rule aman=an−m to simplify the expression
1z−7−(−9)
Simplify
z−7−(−9)
Divide the terms
z2
z2=0
The only way a power can be 0 is when the base equals 0
z=0
Check if the solution is in the defined range
z=0,z=0
Solution
z∈∅
Show Solution
