Final answer:
The simplify the expression 37 . 648x . 4y⁸ is (37)(648x)(4y⁸).
Step-by-step explanation:
To simplify the expression 37 . 648x . 4y⁸, multiply the numbers and variables together.
Then we can follow the order of operations, which states that we should first simplify any parentheses, then perform any exponentiations, and finally perform multiplications and divisions from left to right.
Starting with the exponentiation y⁸, we can simplify it as follows: 4y⁸ = (4)(y)(y)(y)(y)(y)(y)(y) = 4y⁸.
Next, we can multiply 37, 648x, and 4y⁸ together: 37 . 648x . 4y⁸ = (37)(648x)(4y⁸).
Therefore, the simplified expression is 37 . 648x . 4y⁸ = (37)(648x)(4y⁸).