Question
Simplify the expression
625x2
Evaluate
(25x)4
Simplify the root
More Steps

Evaluate
25x
Rewrite the exponent as a sum
52x
The root of a product is equal to the product of the roots of each factor
52×x
Reduce the index of the radical and exponent with 2
5x
(5x)4
Evaluate the power
54(x)4
Evaluate the power
625(x)4
Solution
625x2
Show Solution

Find the roots
x=0
Evaluate
(25x)4
To find the roots of the expression,set the expression equal to 0
(25x)4=0
Find the domain
(25x)4=0,x≥0
Calculate
(25x)4=0
Simplify the root
More Steps

Evaluate
25x
Rewrite the exponent as a sum
52x
The root of a product is equal to the product of the roots of each factor
52×x
Reduce the index of the radical and exponent with 2
5x
(5x)4=0
The only way a power can be 0 is when the base equals 0
5x=0
Rewrite the expression
x=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
