Question
Simplify the expression
3×87x3x
Evaluate
3(64x)7
Simplify the root
More Steps

Evaluate
64x
Rewrite the exponent as a sum
26x
The root of a product is equal to the product of the roots of each factor
26×x
Reduce the index of the radical and exponent with 2
8x
3(8x)7
Solution
More Steps

Evaluate
(8x)7
Evaluate the power
87(x)7
Evaluate the power
87x3x
3×87x3x
Show Solution

Find the roots
x=0
Evaluate
3(64x)7
To find the roots of the expression,set the expression equal to 0
3(64x)7=0
Find the domain
3(64x)7=0,x≥0
Calculate
3(64x)7=0
Simplify the root
More Steps

Evaluate
64x
Rewrite the exponent as a sum
26x
The root of a product is equal to the product of the roots of each factor
26×x
Reduce the index of the radical and exponent with 2
8x
3(8x)7=0
Rewrite the expression
(8x)7=0
The only way a power can be 0 is when the base equals 0
8x=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
