Question
Simplify the expression
18x33x
Evaluate
2x2×3(3x)3
Multiply the terms
6x2(3x)3
Rewrite the expression
6x2×3x3x
Multiply the terms
18x2×x3x
Solution
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
18x33x
Show Solution

Find the roots
x=0
Evaluate
2x2×3(3x)3
To find the roots of the expression,set the expression equal to 0
2x2×3(3x)3=0
Find the domain
2x2×3(3x)3=0,x≥0
Calculate
2x2×3(3x)3=0
Multiply
More Steps

Multiply the terms
2x2×3(3x)3
Multiply the terms
6x2(3x)3
Rewrite the expression
6x2×3x3x
Multiply the terms
18x2×x3x
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
18x33x
18x33x=0
Elimination the left coefficient
x33x=0
Separate the equation into 2 possible cases
x3=03x=0
The only way a power can be 0 is when the base equals 0
x=03x=0
Solve the equation
More Steps

Evaluate
3x=0
The only way a root could be 0 is when the radicand equals 0
3x=0
Rewrite the expression
x=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
