index

(i) a^p×a^q = a^p + q

(ii) a^p/a^q = a^p−q (a ≠ 0),

(iii) (a^p)^q = a^pq,

(iv) (ab)^p = a^pb^p,

where, in (ii), for the moment, it is required that p>q. The meaning of a^p can be extended for a general integer p by the following definitions:

(v) a0 = 1,

(vi) a^−p = 1/a^p (a ≠ 0),

noting (i)–(vi) still hold. And if a > 0, m,n are integers with n > 0, we define

(vii)

For a > 0 and x a real number, we define

and again rules (i)–(vii) hold. The same notation is used in other contexts; for example, to define z^p, where z is a complex number, to define A^p, where A is a square matrix, or to define g^p, where g is an element of a multiplicative group. In such cases, some of the above rules may hold and others may not.

• Chen's theorem
• Chinese postman problem
• Chinese remainder theorem
• chirality
• chi-squared contingency table test
• chi-squared distribution
• chi-squared test
• Cholesky's decomposition
• chord
• Christoffel symbol
• chromatic number
• Church, Alonzo
• Church's thesis
• Chu Shih-chieh
• cipher
• cipher
• ciphertext
• circle
• circle of convergence
• circle of curvature
• circle theorems
• circline
• circuit
• circular argument
• circular data