The quotient rule for exponents states that $$ \frac{b^{ ext {m }}}{\mathrm{b}^{n}}=\square, \mathrm{t}=0 $$. When dividing exponential expressions with the same nonzero base, $$ \square $$ the exponents.

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The quotient rule for exponents states that $$ \frac{b^{	ext {m }}}{\mathrm{b}^{n}}=\square, \mathrm{t}=0 $$. When dividing exponential expressions with the same nonzero base, $$ \square $$ the exponents.

UpStudy AI · Accepted Answer

The quotient rule for exponents states that when dividing exponential expressions with the same nonzero base, you subtract the exponents.

So, the expression can be filled in as follows:

$$
\frac{b^{m}}{b^{n}} = b^{m-n}, \quad \text{where } b \neq 0
$$

This means that when you have a base $$ b $$ raised to the power of $$ m $$ divided by the same base $$ b $$ raised to the power of $$ n $$, you can simplify it by subtracting the exponent $$ n $$ from the exponent $$ m $$.

Thus, the complete statement is:

The quotient rule for exponents states that $$ \frac{b^{m}}{b^{n}} = b^{m-n}, \text{ where } b \neq 0 $$. When dividing exponential expressions with the same nonzero base, subtract the exponents.
When dividing exponential expressions with the same nonzero base, subtract the exponents. So, $$ \frac{b^{m}}{b^{n}} = b^{m-n} $$.

The quotient rule for exponents states that . When dividing exponential expressions with the same nonzero base, the exponents.

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