Answer:
Step-by-step explanation:
It's a matter of being consistent in a pattern:
Let a be a number. If a^(-3) is the first number, it's equal to 1 / a^3.
Next:
1 / a^2
1 / a^1
?? To fit into this pattern, a^0 must equal 1.
a^1
a^2
a^3
and so on.
Try this same exercise with a = 2:
2^(-2) = 1/4
2^(-1) = 1/2
?? This number has to be 1 to fit the pattern. 2^0 = 1. Note that each
term is 2x the previous term: 2(1/4) = 1/2; 2(1/2) = 1; 2(1) = 2; 2(2) = 4,
and so on. Again, 2^0 must = 1 to fit into this sequence.
2^1 = 2
2^2 = 4
