Question
Simplify the expression
6f6−81f
Evaluate
f6×6−f×81
Use the commutative property to reorder the terms
6f6−f×81
Solution
6f6−81f
Show Solution

Factor the expression
3f(2f5−27)
Evaluate
f6×6−f×81
Use the commutative property to reorder the terms
6f6−f×81
Use the commutative property to reorder the terms
6f6−81f
Rewrite the expression
3f×2f5−3f×27
Solution
3f(2f5−27)
Show Solution

Find the roots
f1=0,f2=25432
Alternative Form
f1=0,f2≈1.682933
Evaluate
f6×6−f×81
To find the roots of the expression,set the expression equal to 0
f6×6−f×81=0
Use the commutative property to reorder the terms
6f6−f×81=0
Use the commutative property to reorder the terms
6f6−81f=0
Factor the expression
3f(2f5−27)=0
Divide both sides
f(2f5−27)=0
Separate the equation into 2 possible cases
f=02f5−27=0
Solve the equation
More Steps

Evaluate
2f5−27=0
Move the constant to the right-hand side and change its sign
2f5=0+27
Removing 0 doesn't change the value,so remove it from the expression
2f5=27
Divide both sides
22f5=227
Divide the numbers
f5=227
Take the 5-th root on both sides of the equation
5f5=5227
Calculate
f=5227
Simplify the root
More Steps

Evaluate
5227
To take a root of a fraction,take the root of the numerator and denominator separately
52527
Multiply by the Conjugate
52×524527×524
Simplify
52×524527×516
Multiply the numbers
52×5245432
Multiply the numbers
25432
f=25432
f=0f=25432
Solution
f1=0,f2=25432
Alternative Form
f1=0,f2≈1.682933
Show Solution
