  ## Exponents, Radicals, & Roots. . .Math & Algebraic PropertiesExponents &Radicals (roots) Introduction to Exponents & Radicals (roots) An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself .

For example , the number 2 raised to the 3rd power means that the number two is multiplied by itself three times:  The two in the expression is called the base , and the 3 is called the exponent (or power).

The "Radical Symbol" is a shorthand notation which stands for the roots of the number (or expression) in the radicand.

For example , the cube root of 8 stands for the number that can be multiplied by itself three times (cubed) to equal 8: Since, 2 * 2 * 2 = 8, the cube root of 8 is 2. The 3 in the expression is called the root index , and the 8 is called the radicand .

The denominator of a "fractional power" is a shorthand notation which stands for a radical symbol .

For example , the cube root of 8 can be written: A power which is a "decimal" is also a shorthand notation which stands for a radical symbol .

For example , the cube root of 8 can be written: The Properties of Exponents (of Real Numbers) - Click Description

The Properties of Radicals & Roots - Real Numbers - click description 