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Exponents, Radicals, & Roots

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Math & Algebraic Properties

Exponents Math - Exponents - showing variable X, and exponent a & Radicals (roots) Math Symbol - Radical Symbol - showing variable X, and root a

Introduction to Exponents Math - Exponents - showing variable X, and exponent a & Radicals (roots) Math Symbol - Radical Symbol - showing variable X, and root a

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:

exponent - 2 raised to the 3rd power - Math

base and exponent - Math

The two in the expression is called the base , and the 3 is called the exponent (or power).


The "Radical Symbol" Math Symbol - Radical 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:

radical - cube root of 8 - Math

Since, 2 * 2 * 2 = 8, the cube root of 8 is 2.

radical symbol, radicand, and root index - Math

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:

radical - fractional exponent - cube root of 8 - Math

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:

radical - decimal exponent - cube root of 8 - Math








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