Question
Simplify the expression
271u9
Evaluate
(3u−3)−3
To raise a product to a power,raise each factor to that power
3−3(u−3)−3
Evaluate the power
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Evaluate
3−3
Rewrite the expression
331
Simplify
271
271(u−3)−3
Solution
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Evaluate
(u−3)−3
Multiply the exponents
u−3(−3)
Multiply the terms
u9
271u9
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Find the roots
u∈∅
Evaluate
(3u−3)−3
To find the roots of the expression,set the expression equal to 0
(3u−3)−3=0
Find the domain
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Evaluate
{u=03u−3=0
Calculate
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Evaluate
3u−3=0
Rewrite the expression
u−3=0
Rearrange the terms
u31=0
Calculate
{1=0u3=0
The statement is true for any value of u
{u∈Ru3=0
The only way a power can not be 0 is when the base not equals 0
{u∈Ru=0
Find the intersection
u=0
{u=0u=0
Find the intersection
u=0
(3u−3)−3=0,u=0
Calculate
(3u−3)−3=0
Rewrite the expression
(3u−3)31=0
Cross multiply
1=(3u−3)3×0
Simplify the equation
1=0
Solution
u∈∅
Show Solution
