Final answer:
The correct order of operations is Parentheses, Exponents, Multiplication and Division (left to right), and Addition and Subtraction (left to right). Multiply digits and add exponents for multiplication of exponentials; for division, divide digits and subtract exponents. Therefore, correct option is A.
Step-by-step explanation:
The correct order of operations in mathematics is represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
The time-saving variation refers to applying these operations in the given order when simplifying mathematical expressions. When dealing with exponential terms during multiplication, you must multiply the digit terms as usual and then add the exponents.
Similarly, for the division of exponentials, divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms.
When you cube exponentials, cube the digit term and multiply the exponent by 3. It’s important to remember to eliminate terms wherever possible to simplify the algebra and check to ensure the answer is reasonable.