You are correct. The 1st power of a number is defined as simply equal to the number itself:
31
= 3
101
= 10
and in general b1 = b.
This definition works both ways, of course. If we define b1 = b, then we also mean that any number may be regarded as its own 1st power; that is, b = b1. If we want to consider any number as a power of itself, we can consider it as the 1st power of itself:
3
= 31
10
= 101
and so forth.
Well, practice makes perfect. One of the groups of statements below contains a mistake. Which group is it?
Answer :
24
= 16
the 1st power of 12
= 12
b2
= b × b
53
= 125
⎫⎪⎪⎬⎪⎪⎭ This group contains a mistake.