Question
Simplify the expression
x24x
Evaluate
x−47
Express with a positive exponent using a−n=an1
x471
Transform the expression
More Steps

Evaluate
x47
Use anm=nam to transform the expression
4x7
Rewrite the exponent as a sum
4x4+3
Use am+n=am×an to expand the expression
4x4×x3
The root of a product is equal to the product of the roots of each factor
4x4×4x3
Reduce the index of the radical and exponent with 4
x4x3
x4x31
Multiply by the Conjugate
x4x3×4x1×4x
Calculate
x×x1×4x
Any expression multiplied by 1 remains the same
x×x4x
Solution
x24x
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Find the roots
x∈∅
Evaluate
x−(47)
To find the roots of the expression,set the expression equal to 0
x−(47)=0
Find the domain
x−(47)=0,x>0
Calculate
x−(47)=0
Remove the unnecessary parentheses
x−47=0
Rewrite the expression
x471=0
Cross multiply
1=x47×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution
