Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
c1−c7
Evaluate
c5c4−c6
Divide the terms
More Steps
Evaluate
c5c4
Use the product rule aman=an−m to simplify the expression
c5−41
Reduce the fraction
c1
c1−c6
Reduce fractions to a common denominator
c1−cc6×c
Write all numerators above the common denominator
c1−c6×c
Solution
More Steps
Evaluate
c6×c
Use the product rule an×am=an+m to simplify the expression
c6+1
Add the numbers
c7
c1−c7
Show Solution
Find the excluded values
c=0
Evaluate
c5c4−c6
To find the excluded values,set the denominators equal to 0
c5=0
Solution
c=0
Show Solution
Find the roots
c=1
Evaluate
c5c4−c6
To find the roots of the expression,set the expression equal to 0
c5c4−c6=0
The only way a power can not be 0 is when the base not equals 0
c5c4−c6=0,c=0
Calculate
c5c4−c6=0
Divide the terms
More Steps
Evaluate
c5c4
Use the product rule aman=an−m to simplify the expression
c5−41
Reduce the fraction
c1
c1−c6=0
Subtract the terms
More Steps
Simplify
c1−c6
Reduce fractions to a common denominator
c1−cc6×c
Write all numerators above the common denominator
c1−c6×c
Multiply the terms
More Steps
Evaluate
c6×c
Use the product rule an×am=an+m to simplify the expression
c6+1
Add the numbers
c7
c1−c7
c1−c7=0
Cross multiply
1−c7=c×0
Simplify the equation
1−c7=0
Rewrite the expression
−c7=−1
Change the signs on both sides of the equation
c7=1
Take the 7-th root on both sides of the equation
7c7=71
Calculate
c=71
Simplify the root
c=1
Check if the solution is in the defined range
c=1,c=0
Solution
c=1
Show Solution