Question
Solve the equation
x=2548
Alternative Form
x≈1.084472
Evaluate
4=4x5−2
Swap the sides of the equation
4x5−2=4
Move the constant to the right-hand side and change its sign
4x5=4+2
Add the numbers
4x5=6
Divide both sides
44x5=46
Divide the numbers
x5=46
Cancel out the common factor 2
x5=23
Take the 5-th root on both sides of the equation
5x5=523
Calculate
x=523
Solution
More Steps

Evaluate
523
To take a root of a fraction,take the root of the numerator and denominator separately
5253
Multiply by the Conjugate
52×52453×524
Simplify
52×52453×516
Multiply the numbers
More Steps

Evaluate
53×516
The product of roots with the same index is equal to the root of the product
53×16
Calculate the product
548
52×524548
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
2548
x=2548
Alternative Form
x≈1.084472
Show Solution
