Answer:
2t³
Explanation:
For this problem, we are dividing 16t⁴ by 8t. First, we should separate both of these terms into parts we can work with individually. So, we can easily divide 16 by 8, and we can also easily divide t⁴ by t. After solving each of these smaller problems we can get our solution.
First, 16 divided by 8 is 2. This is the first part of our answer. t⁴ divided by t is t³; this is because when dividing terms with the same base, we can subtract the exponents to get the final exponent. The exponent for t⁴ is 4, and the exponent for t is an invisible 1 (t = t¹). 4 - 1 = 3, so t⁴ divided by t is t³.
Putting those two answers together gives us 2t³.