In the context of exponents, if the bases are the same, the rule for handling the quotient (division) of these numbers is to **subtract the exponents**. This means that if you have two expressions with the same base, such as $a^m$ and $a^n$, when you divide them, the result can be expressed as:

$$
\frac{a^m}{a^n} = a^{m-n}
$$

This rule is fundamental in algebra and is part of the laws of exponents. It allows for simplification of expressions involving exponents, especially when working with polynomial equations or scientific notation. By subtracting the exponents, you reduce the complexity of the expression, making it easier to evaluate or further manipulate.

### Final Answer
If the bases are the same, the exponents are **subtracted**.

Question

In the context of exponents, if the bases are the same, the rule for handling the quotient (division) of these numbers is to **subtract the exponents**. This means that if you have two expressions with the same base, such as $a^m$ and $a^n$, when you divide them, the result can be expressed as:

$$
\frac{a^m}{a^n} = a^{m-n}
$$

This rule is fundamental in algebra and is part of the laws of exponents. It allows for simplification of expressions involving exponents, especially when working with polynomial equations or scientific notation. By subtracting the exponents, you reduce the complexity of the expression, making it easier to evaluate or further manipulate.

### Final Answer
If the bases are the same, the exponents are **subtracted**.

Knowee AI · Accepted Answer

In the context of exponents, if the bases are the same, the rule for handling the quotient (division) of these numbers is to **subtract the exponents**. This means that if you have two expressions with the same base, such as $a^m$ and $a^n$, when you divide them, the result can be expressed as:

$$
\frac{a^m}{a^n} = a^{m-n}
$$

This rule is fundamental in algebra and is part of the laws of exponents. It allows for simplification of expressions involving exponents, especially when working with polynomial equations or scientific notation. By subtracting the exponents, you reduce the complexity of the expression, making it easier to evaluate or further manipulate.

### Final Answer
If the bases are the same, the exponents are **subtracted**.

For the quotient of numbers: if the bases are the same, the exponents are ....multiplieddividedsubtractedadded

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