Question
Simplify the expression
200r5−1
Evaluate
r5×200−1
Solution
200r5−1
Show Solution

Find the roots
r=20052004
Alternative Form
r≈0.346572
Evaluate
r5×200−1
To find the roots of the expression,set the expression equal to 0
r5×200−1=0
Use the commutative property to reorder the terms
200r5−1=0
Move the constant to the right-hand side and change its sign
200r5=0+1
Removing 0 doesn't change the value,so remove it from the expression
200r5=1
Divide both sides
200200r5=2001
Divide the numbers
r5=2001
Take the 5-th root on both sides of the equation
5r5=52001
Calculate
r=52001
Solution
More Steps

Evaluate
52001
To take a root of a fraction,take the root of the numerator and denominator separately
520051
Simplify the radical expression
52001
Multiply by the Conjugate
5200×5200452004
Multiply the numbers
More Steps

Evaluate
5200×52004
The product of roots with the same index is equal to the root of the product
5200×2004
Calculate the product
52005
Reduce the index of the radical and exponent with 5
200
20052004
r=20052004
Alternative Form
r≈0.346572
Show Solution
