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You are correct. The 1st power of a number is defined as simply equal to the number itself:

3^{1}
= 3
10^{1}
= 10

and in general b^{1} = b.

This definition works both ways, of course. If we define b^{1} = b, then we also mean that any number may be regarded as its own 1st power; that is, b = b^{1}. If we want to consider any number as a power of itself, we can consider it as the 1st power of itself:

3
= 3^{1}
10
= 10^{1}

and so forth.

Well, practice makes perfect. One of the groups of statements below contains a mistake. Which group is it?

Answer :

2^{4}
= 16
the 1st power of 12
= 12
b^{2}
= b × b
5^{3}
= 125
⎫⎪⎪⎬⎪⎪⎭ This group contains a mistake.