RedCrab Math Tutorial



Roots and Power

This page describes a general relationship between roots and powers in mathematical terms.
First to the power; they can be considered as shorthand of multiplication.
  • The expression a4 stands for a ·a · a · a

  • In the expression an we call a the basis and n the exponent

  • For a negative exponent a-n you can also write (1/an)

A general root for natural numbers is also defined by the exponent
  • Inwe call a the radicand and n again the exponent

  • It is or , where without specifying the exponent, the 2 is assumed as an exponent

  • If, then

The following list shows some rules that simplify the process of converting and calculating formulas


Integer and Real Numbers
Complex Numbers
Polar Coordinates
Roots and Power
Percentage Calculation
Interest Calculation
Absolute Value of a Number
Euclidean division
Modulo - Remainder of a division
Vector Calculation
Matrices Definition
Matrices Calculation
Matrices & Simultaneous Equations
Matrices Determinants
Row Operations of Matrices
Matrices and Geometry, Reflection
Matrices and Geometry, Rotation

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