Final answer:
The expression 9 times 3 means to multiply 9 by 3, resulting in 27. In exponentiation, when cubing an exponential term, multiply the exponent by 3. Also, when multiplying exponential terms with the same base, add the exponents together.
Step-by-step explanation:
The expression 9 times 3 can be described as a mathematical operation where the number 9 is multiplied by the number 3. In mathematical terms, this is written as 9 × 3, which equals 27 when calculated. Multiplication is one of the basic operations in mathematics, used to calculate the total number of items when you have several groups of the same size.
When dealing with expressions involving exponents, such as cubing of exponentials, the process follows specific mathematical rules. For example, to cube an exponential term, one would cube the digit term as usual and then multiply the exponent by 3. This is because an expression such as (ab)c is equivalent to ab × c. Using this rule, an expression like (23)2 would simplify to 23 × 2 or 26.
Furthermore, this rule can be extended to multiplying two exponential quantities with the same base. For instance, 103 times 102 can be combined as 103+2 or 105, following the rule xp × xq = x(p+q).