Question
Simplify the expression
x7
Evaluate
x−8x−1
Dividing by an is the same as multiplying by a−n
x−1×x8
Use the product rule an×am=an+m to simplify the expression
x−1+8
Solution
x7
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Find the roots
x∈∅
Evaluate
x−8x−1
To find the roots of the expression,set the expression equal to 0
x−8x−1=0
Find the domain
More Steps

Evaluate
{x=0x−8=0
Calculate
More Steps

Evaluate
x−8=0
Rearrange the terms
x81=0
Calculate
{1=0x8=0
The statement is true for any value of x
{x∈Rx8=0
The only way a power can not be 0 is when the base not equals 0
{x∈Rx=0
Find the intersection
x=0
{x=0x=0
Find the intersection
x=0
x−8x−1=0,x=0
Calculate
x−8x−1=0
Divide the terms
More Steps

Evaluate
x−8x−1
Use the product rule aman=an−m to simplify the expression
1x−1−(−8)
Simplify
x−1−(−8)
Divide the terms
x7
x7=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution
