Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
28r21
Evaluate
7rr4÷4r5
Divide the terms
More Steps
Evaluate
7rr4
Use the product rule aman=an−m to simplify the expression
7r4−1
Reduce the fraction
7r3
7r3÷4r5
Multiply by the reciprocal
7r3×4r51
Cancel out the common factor r3
71×4r21
Multiply the terms
7×4r21
Solution
28r21
Show Solution
Find the excluded values
r=0
Evaluate
7rr4÷(4r5)
To find the excluded values,set the denominators equal to 0
7r=04r5=0
Solve the equations
r=04r5=0
Solve the equations
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Evaluate
4r5=0
Rewrite the expression
r5=0
The only way a power can be 0 is when the base equals 0
r=0
r=0r=0
Solution
r=0
Show Solution
Find the roots
r∈∅
Evaluate
7rr4÷(4r5)
To find the roots of the expression,set the expression equal to 0
7rr4÷(4r5)=0
Find the domain
More Steps
Evaluate
{7r=04r5=0
Calculate
{r=04r5=0
Calculate
More Steps
Evaluate
4r5=0
Rewrite the expression
r5=0
The only way a power can not be 0 is when the base not equals 0
r=0
{r=0r=0
Find the intersection
r=0
7rr4÷(4r5)=0,r=0
Calculate
7rr4÷(4r5)=0
Multiply the terms
7rr4÷4r5=0
Divide the terms
More Steps
Evaluate
7rr4
Use the product rule aman=an−m to simplify the expression
7r4−1
Reduce the fraction
7r3
7r3÷4r5=0
Divide the terms
More Steps
Evaluate
7r3÷4r5
Multiply by the reciprocal
7r3×4r51
Cancel out the common factor r3
71×4r21
Multiply the terms
7×4r21
Multiply the terms
28r21
28r21=0
Cross multiply
1=28r2×0
Simplify the equation
1=0
Solution
r∈∅
Show Solution