Final answer:
When multiplying powers with the same base, we add the exponents; when dividing, we subtract the exponents.
Step-by-step explanation:
When we multiply powers with the same base, we simplify the expression by adding the exponents. This rule applies to powers with the same base and does not work for bases that are different. For instance, if we multiply 32 by 35, we add the exponents 2 and 5 to get 37. Similarly, when dividing exponentials, we divide the digit terms and subtract the exponents of the exponential terms. For example, dividing 106 by 103 will result in 103.