Question
Simplify the expression
p10
Evaluate
p8×p−1p
Divide the terms
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Evaluate
p−1p
Use the product rule aman=an−m to simplify the expression
1p1−(−1)
Simplify
p1−(−1)
Divide the terms
p2
p8×p2
Use the product rule an×am=an+m to simplify the expression
p8+2
Solution
p10
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Find the roots
p∈∅
Evaluate
p8×p−1p
To find the roots of the expression,set the expression equal to 0
p8×p−1p=0
Find the domain
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Evaluate
{p=0p−1=0
Calculate
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Evaluate
p−1=0
Rearrange the terms
p1=0
Calculate
{1=0p=0
The statement is true for any value of p
{p∈Rp=0
Find the intersection
p=0
{p=0p=0
Find the intersection
p=0
p8×p−1p=0,p=0
Calculate
p8×p−1p=0
Divide the terms
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Evaluate
p−1p
Use the product rule aman=an−m to simplify the expression
1p1−(−1)
Simplify
p1−(−1)
Divide the terms
p2
p8×p2=0
Multiply the terms
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Evaluate
p8×p2
Use the product rule an×am=an+m to simplify the expression
p8+2
Add the numbers
p10
p10=0
The only way a power can be 0 is when the base equals 0
p=0
Check if the solution is in the defined range
p=0,p=0
Solution
p∈∅
Show Solution
