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To simplify \( \frac{m^{6}}{m^{2}} \), you subtract the exponents since the bases are the same. This gives you \( m^{6-2} = m^{4} \). So, the simplified expression is \( m^{4} \). In mathematics, understanding exponent rules is like learning the secret codes of numbers! For instance, when you divide powers of the same base, just remember: "subtract the exponents!" It makes simplifying expressions a breeze and opens up the world of algebraic manipulation. Keep practicing these rules, and soon enough, you'll be a wizard at handling expressions effortlessly!