Subjects algebra

Power 2 Removal B850B9

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1. The problem is to understand if the power 2 in $x^2=0$ can be removed. 2. The equation given is $x^2=0$. 3. The power 2 means $x$ is squared, or multiplied by itself: $x \times x$. 4. To solve $x^2=0$, we want to find $x$ such that when squared, it equals zero. 5. The only number whose square is zero is zero itself, so $x=0$. 6. When solving, we take the square root of both sides: $$\sqrt{x^2} = \sqrt{0}$$ 7. This simplifies to $$|x| = 0$$ because the square root of $x^2$ is the absolute value of $x$. 8. Since $|x|=0$, it means $x=0$. 9. So, the power 2 is not simply "removed" but we use the square root operation to solve the equation. 10. Final answer: $x=0$.