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

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

Ask by Christensen Bartlett. in the United States

Jan 24,2025

Question

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

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

Ask by Christensen Bartlett. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

Certainly! Here are the filled-in blanks for the quotient rule of exponents:

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

**Explanation:**

1. **First Blank ($$ \frac{b^{m}}{b^{n}}= \boxed{b^{m - n}} $$):**
   - **Quotient Rule:** When you divide two expressions that have the same base, you subtract the exponent in the denominator from the exponent in the numerator. Mathematically, this is expressed as:
     $$
     \frac{b^{m}}{b^{n}} = b^{m - n}
     $$
   
2. **Second Blank (When dividing exponential expressions with the same nonzero base, $$ \boxed{\text{subtract}} $$ the exponents.):**
   - **Action on Exponents:** The specific operation you perform on the exponents when applying the quotient rule is **subtraction**. This means you take the exponent of the denominator and subtract it from the exponent of the numerator.

**Final Statement:**

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.
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.

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

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

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

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

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