Question
Factor the expression
4(10s5−1)
Evaluate
40s5−4
Solution
4(10s5−1)
Show Solution

Find the roots
s=10510000
Alternative Form
s≈0.630957
Evaluate
40s5−4
To find the roots of the expression,set the expression equal to 0
40s5−4=0
Move the constant to the right-hand side and change its sign
40s5=0+4
Removing 0 doesn't change the value,so remove it from the expression
40s5=4
Divide both sides
4040s5=404
Divide the numbers
s5=404
Cancel out the common factor 4
s5=101
Take the 5-th root on both sides of the equation
5s5=5101
Calculate
s=5101
Solution
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
More Steps

Evaluate
510×5104
The product of roots with the same index is equal to the root of the product
510×104
Calculate the product
5105
Reduce the index of the radical and exponent with 5
10
10510000
s=10510000
Alternative Form
s≈0.630957
Show Solution
