Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2p2
Evaluate
2p2(p2)2
Multiply the exponents
2p2p2×2
Multiply the numbers
2p2p4
Use the product rule aman=an−m to simplify the expression
2p4−2
Solution
2p2
Show Solution
Find the excluded values
p=0
Evaluate
2(p2)(p2)2
To find the excluded values,set the denominators equal to 0
2(p2)=0
Solution
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Evaluate
2p2=0
Rewrite the expression
p2=0
The only way a power can be 0 is when the base equals 0
p=0
p=0
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Find the roots
p∈∅
Evaluate
2(p2)(p2)2
To find the roots of the expression,set the expression equal to 0
2(p2)(p2)2=0
Find the domain
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Evaluate
{2p2=02(p2)=0
Calculate
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Evaluate
2p2=0
Rewrite the expression
p2=0
The only way a power can not be 0 is when the base not equals 0
p=0
{p=02(p2)=0
Calculate
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Evaluate
2p2=0
Rewrite the expression
p2=0
The only way a power can not be 0 is when the base not equals 0
p=0
{p=0p=0
Find the intersection
p=0
2(p2)(p2)2=0,p=0
Calculate
2(p2)(p2)2=0
Calculate
2p2(p2)2=0
Evaluate the power
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Evaluate
(p2)2
Transform the expression
p2×2
Multiply the numbers
p4
2p2p4=0
Divide the terms
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Evaluate
2p2p4
Use the product rule aman=an−m to simplify the expression
2p4−2
Reduce the fraction
2p2
2p2=0
Simplify
p2=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