Question
Simplify the expression
10b6−b
Evaluate
b6×10−b
Solution
10b6−b
Show Solution

Factor the expression
b(10b5−1)
Evaluate
b6×10−b
Use the commutative property to reorder the terms
10b6−b
Rewrite the expression
b×10b5−b
Solution
b(10b5−1)
Show Solution

Find the roots
b1=0,b2=10510000
Alternative Form
b1=0,b2≈0.630957
Evaluate
b6×10−b
To find the roots of the expression,set the expression equal to 0
b6×10−b=0
Use the commutative property to reorder the terms
10b6−b=0
Factor the expression
b(10b5−1)=0
Separate the equation into 2 possible cases
b=010b5−1=0
Solve the equation
More Steps

Evaluate
10b5−1=0
Move the constant to the right-hand side and change its sign
10b5=0+1
Removing 0 doesn't change the value,so remove it from the expression
10b5=1
Divide both sides
1010b5=101
Divide the numbers
b5=101
Take the 5-th root on both sides of the equation
5b5=5101
Calculate
b=5101
Simplify the root
More Steps

Evaluate
5101
To take a root of a fraction,take the root of the numerator and denominator separately
51051
Simplify the radical expression
5101
Multiply by the Conjugate
510×51045104
Simplify
510×5104510000
Multiply the numbers
10510000
b=10510000
b=0b=10510000
Solution
b1=0,b2=10510000
Alternative Form
b1=0,b2≈0.630957
Show Solution
