What would, "divide 10 by 8, raise the result to the 5th power, then subtract what you have from s," be as an expression?

Question

Takin questions from IXL :P

Answer 1

For this problem, we need to break down each part of the sentence and determine how to represent them mathematically. So let's start with the first phrase: "divide 10 by 8". This can be represented mathematically by the fraction 10/8. The second part is that we "raise the result to the 5th power". Specifying "the result" means that whatever we just figured out gets put in parentheses, and the next part applies to the entire quantity. So we will put the answer to the first phrase in parentheses and raise it to the 5th power. That looks like this: (10/8)^5. The last part is to "subtract what you have from s". The key part here is the word "from," which means that s should go before the negative sign, and whatever result we got from the previous part should go after the negative sign. That makes our final answer: s - (10/8)^5.