Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6x
Evaluate
x×11(x2×x21)×2(x3×x31)×3
Remove the parentheses
x×11x2×x21×2x3×x31×3
Divide the terms
x×1×x2×x21×2x3×x31×3
Rewrite the expression
x×x2×x21×2x3×x31×3
Multiply the terms with the same base by adding their exponents
x1+2+3×x21×2×x31×3
Add the numbers
x6×x21×2×x31×3
Multiply the terms
x6×x21×6×x31
Multiply the terms
More Steps
Multiply the terms
x6×x21
Cancel out the common factor x2
x4×1
Multiply the terms
x4
x4×6×x31
Use the commutative property to reorder the terms
6x4×x31
Cancel out the common factor x3
6x×1
Solution
6x
Show Solution
Find the excluded values
x=0
Evaluate
x×11(x2×x21)×2(x3×x31)×3
To find the excluded values,set the denominators equal to 0
x2=0x3=0
The only way a power can be 0 is when the base equals 0
x=0x3=0
The only way a power can be 0 is when the base equals 0
x=0x=0
Solution
x=0
Show Solution
Find the roots
x∈∅
Evaluate
x×11(x2×x21)×2(x3×x31)×3
To find the roots of the expression,set the expression equal to 0
x×11(x2×x21)×2(x3×x31)×3=0
Find the domain
More Steps
Evaluate
{x2=0x3=0
The only way a power can not be 0 is when the base not equals 0
{x=0x3=0
The only way a power can not be 0 is when the base not equals 0
{x=0x=0
Find the intersection
x=0
x×11(x2×x21)×2(x3×x31)×3=0,x=0
Calculate
x×11(x2×x21)×2(x3×x31)×3=0
Multiply the terms
More Steps
Multiply the terms
x2×x21
Cancel out the common factor x2
1×1
Multiply the terms
1
x×11×1×2(x3×x31)×3=0
Multiply the terms
More Steps
Multiply the terms
x3×x31
Cancel out the common factor x3
1×1
Multiply the terms
1
x×11×1×2×1×3=0
Divide the terms
x×1×1×2×1×3=0
Multiply the terms
More Steps
Multiply the terms
x×1×1×2×1×3
Rewrite the expression
x×2×3
Multiply the terms
x×6
Use the commutative property to reorder the terms
6x
6x=0
Rewrite the expression
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution