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This module provides practice problems designed to emphasize basic exponent concepts.

Memorize these:

  • x a x b x a b
  • x a x b size 12{ { {x rSup { size 8{a} } } over {x rSup { size 8{b} } } } } {} x a b or 1 x b a size 12{ { {1} over {x rSup { size 8{b - a} } } } } {}
  • x a b x a b

Simplify, using these rules:

3 10 3 5 size 12{ { {3 rSup { size 8{"10"} } } over {3 rSup { size 8{5} } } } } {}

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3 5 3 10 size 12{ { {3 rSup { size 8{5} } } over {3 rSup { size 8{"10"} } } } } {}

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6x 3 y 2 z 5 4x 10 yz 2 size 12{ { {6x rSup { size 8{3} } y rSup { size 8{2} } z rSup { size 8{5} } } over {4x rSup { size 8{"10"} } ital "yz" rSup { size 8{2} } } } } {}

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6x 2 y 3 + 3x 3 y xy + x 2 y size 12{ { {6x rSup { size 8{2} } y rSup { size 8{3} } +3x rSup { size 8{3} } y} over { ital "xy"+x rSup { size 8{2} } y} } } {}

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( 3x 2 y ) 2 + xy ( xy ) 3 size 12{ { { \( 3x rSup { size 8{2} } y \) rSup { size 8{2} } + ital "xy"} over { \( ital "xy" \) rSup { size 8{3} } } } } {}

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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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