Solve for x: x^(1/5) = 2

Published on March 11, 2026

Algebra

Solve the exponential equation x raised to the power of one-fifth equals 2 by raising both sides to the 5th power to find x.

Question

Answer

The problem presented is to solve for

in the equation:

Here is the step-by-step solution:

Identify the equation:
The given equation is:
Understand the exponent:
The term is equivalent to the fifth root of , which is .
Isolate :
To solve for , we need to undo the operation of raising to the power of . We do this by raising both sides of the equation to the reciprocal power, which is .
Simplify using exponent rules:
Recall the rule for exponents .
Calculate the final value:
Calculate :
Conclusion:

The solution is

We can check the answer:

Since

, the solution is correct.

The final answer is:

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