Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
1
Evaluate
p1×pp×p1
Dividing by an is the same as multiplying by a−n
p×p−1×p×p−1
Multiply the terms with the same base by adding their exponents
p1−1+1−1
Calculate the sum or difference
p0
Solution
1
Show Solution
Find the excluded values
p=0
Evaluate
p1×pp×p1
To find the excluded values,set the denominators equal to 0
p=0p1×p=0
Solve the equations
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Evaluate
p1×p=0
Multiply the terms
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Multiply the terms
p1×p
Cancel out the common factor p
1×1
Multiply the terms
1
1=0
The statement is false for any value of p
p∈∅
p=0p∈∅
Solution
p=0
Show Solution
Find the roots
p∈∅
Evaluate
p1×pp×p1
To find the roots of the expression,set the expression equal to 0
p1×pp×p1=0
Find the domain
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Evaluate
{p=0p1×p=0
Calculate
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Evaluate
p1×p=0
Multiply the terms
1=0
The statement is true for any value of p
p∈R
{p=0p∈R
Find the intersection
p=0
p1×pp×p1=0,p=0
Calculate
p1×pp×p1=0
Multiply the terms
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Multiply the terms
p×p1
Cancel out the common factor p
1×1
Multiply the terms
1
p1×p1=0
Multiply the terms
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Multiply the terms
p1×p
Cancel out the common factor p
1×1
Multiply the terms
1
11=0
Divide the terms
1=0
Solution
p∈∅
Show Solution