Question
Solve the equation
x=25104
Alternative Form
x≈1.265834
Evaluate
4x5=13
Divide both sides
44x5=413
Divide the numbers
x5=413
Take the 5-th root on both sides of the equation
5x5=5413
Calculate
x=5413
Solution
More Steps

Evaluate
5413
To take a root of a fraction,take the root of the numerator and denominator separately
54513
Multiply by the Conjugate
54×544513×544
Simplify
54×544513×258
Multiply the numbers
More Steps

Evaluate
513×258
Multiply the terms
5104×2
Use the commutative property to reorder the terms
25104
54×54425104
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
2225104
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
25104
x=25104
Alternative Form
x≈1.265834
Show Solution
