Exponent Rules - Greenebox Tutoring - HOME



Exponent Rules

[pic]

[pic]

[pic]

[pic] OR [pic]

Properties of Radicals

[pic]

[pic]

Rational Exponents and Radical Form

[pic]

Signs: (Negative inside or outside of parentheses)

[pic]

[pic]

Imaginary Numbers: (Negative inside radical)

[pic]

[pic]

Double Radical

[pic]

Terminology

Each of these roots stands for a dimension, i.e. 4th root is describing a 4-dimensional object.

Only the 2nd and 3rd roots have special names. 4th, 5th, 6th roots, etc. are named according to their dimension.

Note: If there is a variable (letter) with an even power, the answer must have absolute value bars around it. [pic]

____________________________________________________________

SQUARE ROOT (2ND ROOT): [pic]

Meaning: ( )( ) = x

[pic]

Examples:

(2)(2) = 4, so that means [pic]

(x)(x)= [pic], so that means [pic]

____________________________________________________________

CUBE ROOT: [pic]

Meaning: ( )( )( ) = x

[pic]

(2)(2)(2) = 8, so that means [pic]

(x)(x)(x)= [pic], so that means [pic]

____________________________________________________________

FOURTH ROOT: [pic]

Meaning: ( )( )( ) ( )= x

[pic]

ETC…

Suggestion: Use lists of squares, cubes, 4th powers, etc. to look up roots instead of calculating them .

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download