Exponent Rules - Greenebox Tutoring - HOME
Exponent Rules
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Properties of Radicals
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Rational Exponents and Radical Form
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Signs: (Negative inside or outside of parentheses)
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Imaginary Numbers: (Negative inside radical)
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Double Radical
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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]
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SQUARE ROOT (2ND ROOT): [pic]
Meaning: ( )( ) = x
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Examples:
(2)(2) = 4, so that means [pic]
(x)(x)= [pic], so that means [pic]
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CUBE ROOT: [pic]
Meaning: ( )( )( ) = x
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(2)(2)(2) = 8, so that means [pic]
(x)(x)(x)= [pic], so that means [pic]
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FOURTH ROOT: [pic]
Meaning: ( )( )( ) ( )= x
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ETC…
Suggestion: Use lists of squares, cubes, 4th powers, etc. to look up roots instead of calculating them .
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