According to the order of operations, which step should be completed first in the following expression: 6−3⋅1^18÷2⋅4+8

Question

?
(1 point)
Responses

subtraction
subtraction

division
division

multiplication
multiplication

exponent

Answer 1

In the expression \( 6 - 3 \cdot 1^{18} \div 2 \cdot 4 + 8 \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Exponents: First, we evaluate the exponent \( 1^{18} \), which equals 1.
2. Multiplication and Division: Next, we handle the multiplication and division from left to right:
   • First, \( 3 \cdot 1 \) (which is 3).
   • Then, \( 3 \div 2 \) (which gives 1.5).
   • Finally, multiply the result by 4.

So, the step that should be completed first in terms of the order of operations is exponent.

Thus, the correct answer is exponent.