Subjects algebra

Simplify Exponents 714Bfe

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Simplify Exponents 714Bfe


1. The problem is to simplify the expression $$\frac{m^3}{m^5}$$ using only positive exponents. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-n}$$. 3. Apply this rule to the expression: $$\frac{m^3}{m^5} = m^{3-5} = m^{-2}$$. 4. To express with only positive exponents, use the rule $$a^{-n} = \frac{1}{a^n}$$. 5. Therefore, $$m^{-2} = \frac{1}{m^2}$$. 6. The simplified expression with positive exponents is $$\frac{1}{m^2}$$.