Question
Simplify the expression
1−x1−x
Evaluate
(1−x)−21
Express with a positive exponent using a−n=an1
(1−x)211
Use anm=nam to transform the expression
1−x1
Multiply by the Conjugate
1−x×1−x1×1−x
Calculate
1−x1×1−x
Solution
1−x1−x
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Find the roots
x∈∅
Evaluate
(1−x)−21
To find the roots of the expression,set the expression equal to 0
(1−x)−21=0
Find the domain
More Steps

Evaluate
{1−x>01−x=0
Calculate
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Evaluate
1−x>0
Move the constant to the right side
−x>0−1
Removing 0 doesn't change the value,so remove it from the expression
−x>−1
Change the signs on both sides of the inequality and flip the inequality sign
x<1
{x<11−x=0
Calculate
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Evaluate
1−x=0
Move the constant to the right side
−x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x=−1
Change the signs on both sides of the equation
x=1
{x<1x=1
Find the intersection
x<1
(1−x)−21=0,x<1
Calculate
(1−x)−21=0
Rewrite the expression
(1−x)211=0
Cross multiply
1=(1−x)21×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution
