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

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Exponents, Radicals, & Roots
. . .
Math & Algebraic Properties

Introduction to Exponents $Math - Exponents - showing variable X, and exponent a$ & Radicals (roots) $Math Symbol - Radical Symbol - showing variable X, and root a$ The "exponent", raising a number to a power, 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 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:

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

An 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 (Real Numbers) - click description

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$Math - Why Use exponents?$

Raising numbers
to a Power

$Math - Multiplying exponents - exponent Rules$

Multiplying Numbers
Raised to a Power

$Math - Dividing exponents - exponent Rules$

Dividing Numbers
Raised to a Power

$Math - Distributive Property of exponents$

Distributive Property of
Numbers Raised to a Power

$Math - Negative exponents - exponent Rules$

Numbers Raised to
Negative Powers

$Math - Zero exponents - exponent Rules$

Numbers Raised to
a Zero Power

$Math - exponent Videos & Free Resources$

Videos
& Free Resources

The Properties of Radicals (Real Numbers) - click description

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$Math - Radicals - adding and subtracting$

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

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Exponents, Radicals, & Roots
. . .
Math & Algebraic Properties

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Exponents, Radicals, & Roots . . . Math & Algebraic Properties

Exponents, Radicals, & Roots
. . .
Math & Algebraic Properties