Question
Simplify the expression
x3x
Evaluate
x3×x21
Use the product rule an×am=an+m to simplify the expression
x3+21
Add the numbers
More Steps

Evaluate
3+21
Reduce fractions to a common denominator
23×2+21
Write all numerators above the common denominator
23×2+1
Multiply the numbers
26+1
Add the numbers
27
x27
Use anm=nam to transform the expression
x7
Rewrite the exponent as a sum
x6+1
Use am+n=am×an to expand the expression
x6×x
The root of a product is equal to the product of the roots of each factor
x6×x
Solution
x3x
Show Solution

Find the roots
x=0
Evaluate
x3×x21
To find the roots of the expression,set the expression equal to 0
x3×x21=0
Find the domain
x3×x21=0,x≥0
Calculate
x3×x21=0
Multiply the terms
More Steps

Evaluate
x3×x21
Use the product rule an×am=an+m to simplify the expression
x3+21
Add the numbers
More Steps

Evaluate
3+21
Reduce fractions to a common denominator
23×2+21
Write all numerators above the common denominator
23×2+1
Multiply the numbers
26+1
Add the numbers
27
x27
x27=0
The only way a root could be 0 is when the radicand equals 0
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
