x^5 = 0
Understand the Problem
The question is asking for the solution to the equation x^5 = 0. The high level approach to solve this is to isolate the variable x and find its value.
Answer
$x = 0$
Answer for screen readers
The final answer is $x = 0$.
Steps to Solve
- Isolate x in the equation
To solve the equation $x^5 = 0$, we want to isolate the variable $x$. We can achieve this by taking the fifth root of both sides.
- Apply the fifth root
Taking the fifth root of both sides gives us:
$$ x = 0^{1/5} $$
- Evaluate the fifth root
Since the fifth root of 0 is still 0, we have:
$$ x = 0 $$
The final answer is $x = 0$.
More Information
The equation $x^5 = 0$ indicates that the only solution to this equation is $x = 0$. This means that 0 is the only number that, when raised to the power of 5, will yield 0.
Tips
- A common mistake is to forget that the fifth root of zero is zero. Some may mistakenly think there are multiple solutions; however, in this case, there is only one solution, $x = 0$.
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