text: Powers of one Every power of one equals: . This is true even if  is negative.
  The first power of a number is the number itself: .
  Powers of zero
  If the exponent  is positive (), the th power of zero is zero: .
  If the exponent  is negative (), the th power of zero  is undefined, because it must equal  with , and this would be  according to above.
  The expression  is either defined as , or it is left undefined.
  Powers of negative one
  If  is an even integer, then . This is because a negative number multiplied by another negative number cancels the sign, and thus gives a positive number.
  If  is an odd integer, then . This is because there will be a remaining  after removing  pairs.
  Because of this, powers of  are useful for expressing alternating sequences. For a similar discussion of powers of the complex number , see .
  Large exponents
  The limit of a sequence of powers of a number greater than one diverges; in other words, the sequence grows without bound:
  as  when
  This can be read as "b to the power of n tends to +∞ as n tends to infinity when b is greater than one".