# power (in mathematics)

'Power' is a word that is almost never used in its correct, original sense any more.
Strictly speaking, if we write 8 = 2^{3}, then 2 is the base,
3 is the exponent, and 8 is the power.
But almost everyone, including most mathematicians, would say that 3 is
the power, and that ''power' and 'exponent' mean the same thing. The misuse
has probably come about from a misunderstanding of statements such "eight
is the third power of two."

A power is a product of equalfactors. E.g., 4^{3} = 4 × 4 × 4; *a*^{5} = *a* × *a* × *a* × *a* × *a*. Evaluating the product, we obtain the value of the power, e.g. 4^{3} = 64; 3^{2} = 9; *a*^{1} = *a*.

In particular, we have 1^{n} = 1 and 0^{n} = 0 for all values of *n*.