I am having trouble understanding how to answer this type of question:

Find each procuct or quotient: Express using positive exponents:

(b to the power of negative 10)(b to the power of 5)

It seems like you're multiplying these together and if that is the case you will be adding the exponents. So, -10 + 5 will equal -5. Since it's asking for the answer to have positive exponents you will just have to show that b^-5 = (1/b^5)

and there is your answer.