Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the algebraic expression
The problem asks us to divide $$x^{2}$$ by $$x$$.
Step 3:: Perform the division
To divide $$x^{2}$$ by $$x$$, we can use the rules of exponent division:
\frac{x^{2}}{x} = x^{2 - 1} = x^{1} = x
Step 4:: Verify the result
We can check this by multiplying our result ($$x$$) by the divisor ($$x$$):
x \cdot x = x^{2}, which confirms our division is correct.
Final Answer
Key Insights: - When dividing powers with the same base, subtract the exponents - x^{2} \div x = x^{1} = x - This works for any non-zero value of x
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