Question
Simplify the expression
126x4
Evaluate
x×12×(3×xx2)×13×14x2×3
Remove the parentheses
x×12×3×xx2×13×14x2×3
1 raised to any power equals to 1
x×1×3×xx2×13×14x2×3
Divide the terms
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Evaluate
xx2
Use the product rule aman=an−m to simplify the expression
1x2−1
Simplify
x2−1
Divide the terms
x
x×1×3x×13×14x2×3
1 raised to any power equals to 1
x×1×3x×1×14x2×3
Rewrite the expression
x×3x×14x2×3
Multiply the terms with the same base by adding their exponents
x1+2×3x×14×3
Add the numbers
x3×3x×14×3
Multiply the terms
More Steps

Evaluate
3×14×3
Multiply the terms
42×3
Multiply the numbers
126
x3×126x
Multiply the terms with the same base by adding their exponents
126x1+3
Solution
126x4
Show Solution

Find the excluded values
x=0
Evaluate
x×12×(3×xx2)×13×14x2×3
Solution
x=0
Show Solution

Find the roots
x∈∅
Evaluate
x×12×(3×xx2)×13×14x2×3
To find the roots of the expression,set the expression equal to 0
x×12×(3×xx2)×13×14x2×3=0
Find the domain
x×12×(3×xx2)×13×14x2×3=0,x=0
Calculate
x×12×(3×xx2)×13×14x2×3=0
Divide the terms
More Steps

Evaluate
xx2
Use the product rule aman=an−m to simplify the expression
1x2−1
Simplify
x2−1
Divide the terms
x
x×12×(3x)×13×14x2×3=0
Multiply the terms
x×12×3x×13×14x2×3=0
1 raised to any power equals to 1
x×1×3x×13×14x2×3=0
1 raised to any power equals to 1
x×1×3x×1×14x2×3=0
Multiply the terms
More Steps

Multiply the terms
x×1×3x×1×14x2×3
Rewrite the expression
x×3x×14x2×3
Multiply the terms with the same base by adding their exponents
x1+2×3x×14×3
Add the numbers
x3×3x×14×3
Multiply the terms
More Steps

Evaluate
3×14×3
Multiply the terms
42×3
Multiply the numbers
126
x3×126x
Multiply the terms with the same base by adding their exponents
126x1+3
Add the numbers
126x4
126x4=0
Rewrite the expression
x4=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution
