Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
xx
Evaluate
x3
Rewrite the exponent as a sum
x2+1
Use am+n=am×an to expand the expression
x2×x
The root of a product is equal to the product of the roots of each factor
x2×x
Solution
xx
Show Solution
Find the roots
x=0
Evaluate
x3
To find the roots of the expression,set the expression equal to 0
x3=0
The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0
x3=0,x≥0
Calculate
x3=0
Simplify the root
More Steps
Evaluate
x3
Rewrite the exponent as a sum
x2+1
Use am+n=am×an to expand the expression
x2×x
The root of a product is equal to the product of the roots of each factor
x2×x
Reduce the index of the radical and exponent with 2
xx
xx=0
Separate the equation into 2 possible cases
x=0x=0
The only way a root could be 0 is when the radicand equals 0
x=0x=0
Find the union
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution