Chapter 6.1, Problem 8P

a.Use the definition of powers of 10 to show how to write the following expressions as a single power of 10 (i.e., in the form 10^Something):
i. ${10}^5÷{10}^2$
ii. ${10}^6÷{10}^4$
iii. ${10}^7÷{10}^6$
b. In each of (i), (ii), and (iii), compare the exponents involved. In each case, what is the relationship among the exponents?
c. Explain why it is always true that ${10}^A÷{10}^B={10}^{A-B}$when A and B are counting numbers and A is greater than B.