Question
Solve the equation
Solve for a
a=25152
Alternative Form
a≈1.365648
Evaluate
38=2a5×4
Multiply the terms
38=8a5
Swap the sides of the equation
8a5=38
Divide both sides
88a5=838
Divide the numbers
a5=838
Cancel out the common factor 2
a5=419
Take the 5-th root on both sides of the equation
5a5=5419
Calculate
a=5419
Solution
More Steps

Evaluate
5419
To take a root of a fraction,take the root of the numerator and denominator separately
54519
Multiply by the Conjugate
54×544519×544
Simplify
54×544519×258
Multiply the numbers
More Steps

Evaluate
519×258
Multiply the terms
5152×2
Use the commutative property to reorder the terms
25152
54×54425152
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
2225152
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
25152
a=25152
Alternative Form
a≈1.365648
Show Solution
