Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
21x8
Evaluate
7x4x3×3x42x
Divide the terms
More Steps
Evaluate
7x4x3
Use the product rule aman=an−m to simplify the expression
74x3−1
Reduce the fraction
74x2
74x2×3x42x
Divide the terms
More Steps
Evaluate
3x42x
Use the product rule aman=an−m to simplify the expression
3x4−12
Reduce the fraction
3x32
74x2×3x32
Cancel out the common factor x2
74×3x2
Multiply the terms
7×3x4×2
Multiply the terms
7×3x8
Solution
21x8
Show Solution
Find the excluded values
x=0
Evaluate
7x4x3×3x42x
To find the excluded values,set the denominators equal to 0
7x=03x4=0
Solve the equations
x=03x4=0
Solve the equations
More Steps
Evaluate
3x4=0
Rewrite the expression
x4=0
The only way a power can be 0 is when the base equals 0
x=0
x=0x=0
Solution
x=0
Show Solution
Find the roots
x∈∅
Evaluate
7x4x3×3x42x
To find the roots of the expression,set the expression equal to 0
7x4x3×3x42x=0
Find the domain
More Steps
Evaluate
{7x=03x4=0
Calculate
{x=03x4=0
Calculate
More Steps
Evaluate
3x4=0
Rewrite the expression
x4=0
The only way a power can not be 0 is when the base not equals 0
x=0
{x=0x=0
Find the intersection
x=0
7x4x3×3x42x=0,x=0
Calculate
7x4x3×3x42x=0
Divide the terms
More Steps
Evaluate
7x4x3
Use the product rule aman=an−m to simplify the expression
74x3−1
Reduce the fraction
74x2
74x2×3x42x=0
Divide the terms
More Steps
Evaluate
3x42x
Use the product rule aman=an−m to simplify the expression
3x4−12
Reduce the fraction
3x32
74x2×3x32=0
Multiply the terms
More Steps
Multiply the terms
74x2×3x32
Cancel out the common factor x2
74×3x2
Multiply the terms
7×3x4×2
Multiply the terms
7×3x8
Multiply the terms
21x8
21x8=0
Cross multiply
8=21x×0
Simplify the equation
8=0
Solution
x∈∅
Show Solution