Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5a36
Evaluate
4a6a3×10a58
Divide the terms
More Steps
Evaluate
4a6a3
Use the product rule aman=an−m to simplify the expression
46a3−1
Reduce the fraction
46a2
Cancel out the common factor 2
23a2
23a2×10a58
Cancel out the common factor 2
23a2×5a54
Cancel out the common factor a2
23×5a34
Cancel out the common factor 2
3×5a32
Multiply the terms
5a33×2
Solution
5a36
Show Solution
Find the excluded values
a=0
Evaluate
4a6a3×10a58
To find the excluded values,set the denominators equal to 0
4a=010a5=0
Solve the equations
a=010a5=0
Solve the equations
More Steps
Evaluate
10a5=0
Rewrite the expression
a5=0
The only way a power can be 0 is when the base equals 0
a=0
a=0a=0
Solution
a=0
Show Solution
Find the roots
a∈∅
Evaluate
4a6a3×10a58
To find the roots of the expression,set the expression equal to 0
4a6a3×10a58=0
Find the domain
More Steps
Evaluate
{4a=010a5=0
Calculate
{a=010a5=0
Calculate
More Steps
Evaluate
10a5=0
Rewrite the expression
a5=0
The only way a power can not be 0 is when the base not equals 0
a=0
{a=0a=0
Find the intersection
a=0
4a6a3×10a58=0,a=0
Calculate
4a6a3×10a58=0
Divide the terms
More Steps
Evaluate
4a6a3
Use the product rule aman=an−m to simplify the expression
46a3−1
Reduce the fraction
46a2
Cancel out the common factor 2
23a2
23a2×10a58=0
Cancel out the common factor 2
23a2×5a54=0
Multiply the terms
More Steps
Multiply the terms
23a2×5a54
Cancel out the common factor a2
23×5a34
Cancel out the common factor 2
3×5a32
Multiply the terms
5a33×2
Multiply the terms
5a36
5a36=0
Cross multiply
6=5a3×0
Simplify the equation
6=0
Solution
a∈∅
Show Solution