Question
Solve the equation
b=25116
Alternative Form
b≈1.293783
Evaluate
8b5=29
Divide both sides
88b5=829
Divide the numbers
b5=829
Take the 5-th root on both sides of the equation
5b5=5829
Calculate
b=5829
Solution
More Steps

Evaluate
5829
To take a root of a fraction,take the root of the numerator and denominator separately
58529
Multiply by the Conjugate
58×584529×584
Simplify
58×584529×2254
Multiply the numbers
More Steps

Evaluate
529×2254
Multiply the terms
5116×22
Use the commutative property to reorder the terms
225116
58×584225116
Multiply the numbers
More Steps

Evaluate
58×584
The product of roots with the same index is equal to the root of the product
58×84
Calculate the product
585
Transform the expression
5215
Reduce the index of the radical and exponent with 5
23
23225116
Reduce the fraction
More Steps

Evaluate
2322
Use the product rule aman=an−m to simplify the expression
23−21
Subtract the terms
211
Simplify
21
25116
b=25116
Alternative Form
b≈1.293783
Show Solution
