Fill in the blanks. The quotient rule for exponents states that \( \frac{b^{m}}{b^{n}}= \) \( \qquad \) , \( \mathrm{b}=0 \). When dividing exponential expressions with the same nonzero base, \( \qquad \) the exponents. The quotient rule for exponents states that \( \frac{b^{m}}{b^{n}}= \) \( \square \) . \( b \geq 0 \). When dividing exponential expressions with the same nonzero base, \( \square \) the exponents.
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The quotient rule for exponents states that \( \frac{b^{m}}{b^{n}}= b^{m-n} \), \( b \neq 0 \). When dividing exponential expressions with the same nonzero base, \( subtract \) the exponents. When you see divisions with exponents, just remember: you can keep calm and simplify by subtracting! It's like having a little math magic that simplifies your life. Just don't confuse it with the addition rule – that’s a whole different party! And if you mix up the rules, don’t fret! Even the best of us have been there. Just remember that each operation has its own rule-brush to make the division neat and tidy. So next time you break out the quotient rule, be sure to wear your thinking cap!