1. Using the associativity/commutativity/identity/zero properties in Figure 5.39, prove by induction that b mb n = b m+n for any integers n ≥ 0 and m ≥ 0. Don’t skip any steps. 2. Using the facts in...

1. Using the associativity/commutativity/identity/zero properties in Figure 5.39, prove by induction that b mb n = b m+n for any integers n ≥ 0 and m ≥ 0. Don’t skip any steps.

2. Using the facts in Figure 5.39 and Exercise 5.92, prove by induction that (b m) n = b mn for any integers n ≥ 0 and m ≥ 0. Again, don’t skip any steps.

Figure 5.39: A few elementary-school facts about addition and multiplication.

Exercise 5.92

Using the associativity/commutativity/identity/zero properties in Figure 5.39, prove by induction that b mb n = b m+n for any integers n ≥ 0 and m ≥ 0. Don’t skip any steps