Question
Solve the equation
w=25688
Alternative Form
w≈1.847088
Evaluate
86=2(2w4×w)
Remove the parentheses
86=2×2w4×w
Multiply
More Steps

Evaluate
2×2w4×w
Multiply the terms
4w4×w
Multiply the terms with the same base by adding their exponents
4w4+1
Add the numbers
4w5
86=4w5
Swap the sides of the equation
4w5=86
Divide both sides
44w5=486
Divide the numbers
w5=486
Cancel out the common factor 2
w5=243
Take the 5-th root on both sides of the equation
5w5=5243
Calculate
w=5243
Solution
More Steps

Evaluate
5243
To take a root of a fraction,take the root of the numerator and denominator separately
52543
Multiply by the Conjugate
52×524543×524
Simplify
52×524543×516
Multiply the numbers
More Steps

Evaluate
543×516
The product of roots with the same index is equal to the root of the product
543×16
Calculate the product
5688
52×5245688
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
25688
w=25688
Alternative Form
w≈1.847088
Show Solution
