Question
Solve the equation
m=25208
Alternative Form
m≈1.454061
Evaluate
13=2m5
Swap the sides of the equation
2m5=13
Divide both sides
22m5=213
Divide the numbers
m5=213
Take the 5-th root on both sides of the equation
5m5=5213
Calculate
m=5213
Solution
More Steps

Evaluate
5213
To take a root of a fraction,take the root of the numerator and denominator separately
52513
Multiply by the Conjugate
52×524513×524
Simplify
52×524513×516
Multiply the numbers
More Steps

Evaluate
513×516
The product of roots with the same index is equal to the root of the product
513×16
Calculate the product
5208
52×5245208
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
25208
m=25208
Alternative Form
m≈1.454061
Show Solution
