Question
Simplify the expression
x38
Evaluate
(x3)2(x4)3(x5)4
Multiply the exponents
(x3)2(x4)3x5×4
Multiply the exponents
(x3)2x4×3×x5×4
Multiply the exponents
x3×2×x4×3×x5×4
Multiply the numbers
x6×x4×3×x5×4
Multiply the numbers
x6×x12×x5×4
Multiply the numbers
x6×x12×x20
Multiply the terms with the same base by adding their exponents
x6+12+20
Solution
x38
Show Solution

Find the roots
x=0
Evaluate
(x3)2(x4)3(x5)4
To find the roots of the expression,set the expression equal to 0
(x3)2(x4)3(x5)4=0
Evaluate the power
More Steps

Evaluate
(x3)2
Transform the expression
x3×2
Multiply the numbers
x6
x6(x4)3(x5)4=0
Evaluate the power
More Steps

Evaluate
(x4)3
Transform the expression
x4×3
Multiply the numbers
x12
x6×x12(x5)4=0
Evaluate the power
More Steps

Evaluate
(x5)4
Transform the expression
x5×4
Multiply the numbers
x20
x6×x12×x20=0
Multiply
More Steps

Multiply the terms
x6×x12×x20
Multiply the terms with the same base by adding their exponents
x6+12+20
Add the numbers
x38
x38=0
Solution
x=0
Show Solution
