When multiplying expressions with the same base, (Choose one) \( \nabla \) the exponents. When dividing expressions with the same base, (Choose one) \( \boldsymbol{\nabla} \) the exponents.

When multiplying expressions with the same base, you add the exponents. For example, if you have \( a^m \times a^n \), the result is \( a^{m+n} \). This handy rule helps simplify calculations and is a fundamental concept in algebra that applies to all types of expressions with identical bases! When dividing expressions with the same base, you subtract the exponents. So, if you encounter \( \frac{a^m}{a^n} \), it simplifies to \( a^{m-n} \). This is particularly useful when you're dealing with fractions in algebra, making it easier to simplify complex expressions. Remember, math is like a puzzle – just follow the rules to fit the pieces together seamlessly!