Question
Simplify the expression
5010m5−1
Evaluate
m5×5010−1
Solution
5010m5−1
Show Solution

Find the roots
m=5010550104
Alternative Form
m≈0.181984
Evaluate
m5×5010−1
To find the roots of the expression,set the expression equal to 0
m5×5010−1=0
Use the commutative property to reorder the terms
5010m5−1=0
Move the constant to the right-hand side and change its sign
5010m5=0+1
Removing 0 doesn't change the value,so remove it from the expression
5010m5=1
Divide both sides
50105010m5=50101
Divide the numbers
m5=50101
Take the 5-th root on both sides of the equation
5m5=550101
Calculate
m=550101
Solution
More Steps

Evaluate
550101
To take a root of a fraction,take the root of the numerator and denominator separately
5501051
Simplify the radical expression
550101
Multiply by the Conjugate
55010×550104550104
Multiply the numbers
More Steps

Evaluate
55010×550104
The product of roots with the same index is equal to the root of the product
55010×50104
Calculate the product
550105
Reduce the index of the radical and exponent with 5
5010
5010550104
m=5010550104
Alternative Form
m≈0.181984
Show Solution
