Exponents, Radicals, and Roots . . . Math & Algebraic Properties . . . Explained and Illustrated . . .

$logo for solving-math-problems.com$

$leftimage for solving-math-problems.com$

Exponents, Radicals, & Roots

. . .

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 3^rd 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:

$radical - decimal exponent - cube root of 8 - Math$

The Properties of Exponents (of Real Numbers) - Click Description

$Free Math Help$

$Math Help - Your Questions & Comments$

Skip to
Free Math Help

$Math Help - Your Questions & Comments$

$Math Help - Your Questions & Comments$

Questions
Others Have Asked

$Search this Site$

$Search this Site$

Search
this Site

$Why Use Exponents? - Math$

Why Use Exponents?
Math Exponents

$Multiplying Exponents - Exponent Rules$

Multiplying Exponents
Properties of Exponents

$Simplifying Radicals - Math Properties$

Dividing Exponents
Properties of Exponents

$Distributive Property of Exponents - Math$

Distributive Property
of Exponents

$Negative Exponents - Exponent Rules$

Negative Exponents
Properties of Exponents

$Zero Exponents - Exponent Rules$

Zero Exponents
Properties of Exponents

$Exponent Videos & Free Resources - Math$

Exponent Videos
& Free Resources

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

$Free Math Help$

$Math Help - Your Questions & Comments$

Skip to
Free Math Help

$Math Help - Your Questions & Comments$

$Math Help - Your Questions & Comments$

Questions
Others Have Asked

$Search this Site$

$Search this Site$

Search
this Site

$Simplifying Radicals - Math - Radicals - adding and subtracting$

Adding & Subtracting
Radicals

$Math - Multiplying Radicals$

Multiplying Radicals

$Math - Dividing Radicals$

Dividing Radicals

$Math - Rationalizing the Denominator$

Rationalize the
Denominator

$Math - Fractional Exponents & Radicals$

Fractional Powers & Radicals

$Math - Simplifying Radicals$

Simplifying "Radicals"

$Math - Calculate Square Root Without Using a Calculator$

Calculate Square Root
Without Using a Calculator

$Math - Calculate Roots Using Equations$

Calculate Roots
Using Equations

$Math - Free Videos on Radicals & Roots + Free Resources$

Videos
& Free Resources

$Return to Top of Page$
Return To
"Top of Page"
click here

Return from Exponents & Radicals . . . , to Solving Math Problems (home page)

Copyright © 2008-2015. All rights reserved. Solving-Math-Problems.com