Final answer:
In mathematics, when simplifying expressions with exponents, multiplying exponentials involves adding the exponents, while dividing requires subtracting the exponents. Cubing an exponential term involves multiplying its exponent by three.
Step-by-step explanation:
When simplifying mathematical expressions with exponents, there are certain rules that must be followed. For example, when you multiply exponential terms, you multiply the base numbers and add the exponents. Let's look at a simplified example: 23 × 22 would equal 25 since 3 + 2 = 5.
To handle division of exponentials, like 26 ÷ 23, you would subtract the exponents, giving you 23, since 6 - 3 = 3. This applies to numbers with the same base. For different bases or more complex expressions, each part of the term must be handled individually, while still following the rules of exponents.
It's also worth noting when cubing of exponentials takes place, you cube the coefficient and multiply the exponent by 3. For example, (22)3 equals 26 because the exponent 2 is multiplied by 3.