List three different ways to write 5^11 as the product of two powers. explain why all three of your expressions are equal to 5^11

In multiplying quantities of the same base, the product is simply the base raised to a power that is the sum of the individual powers of the factors. That is, 

The term  can be expressed as the product of two factors with the same base (which is five) and whose powers add up to 11. Three examples are:

The answer is 60.9774

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )