document.write( "Question 151296: u^3/w ÷ uv^3/w^2 \n" ); document.write( "
Algebra.Com's Answer #111197 by jim_thompson5910(35256)\"\" \"About 
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\"%28%28u%5E3%29%2F%28w%29%29%2F%28%28uv%5E3%29%2F%28w%5E2%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28u%5E3%29%2F%28w%29%29%28%28w%5E2%29%2F%28uv%5E3%29%29\" Multiply the first fraction by the reciprocal of the second fraction.\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28u%5E3%29%28w%5E2%29%29%2F%28%28w%29%28uv%5E3%29%29\" Combine the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"%28u%5E3w%5E2%29%2F%28uv%5E3w%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"%28u%2Au%2Au%2Aw%2Aw%29%2F%28u%2Av%2Av%2Av%2Aw%29\" Expand. Remember, \"u%5E3w%5E2=u%2Au%2Au%2Aw%2Aw\" and \"uv%5E3w=u%2Av%2Av%2Av%2Aw\"\r
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\n" ); document.write( "\n" ); document.write( " Highlight the common terms.\r
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\n" ); document.write( "\n" ); document.write( " Cancel out the common terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28u%2Au%2Aw%29%2F%28v%2Av%2Av%29\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "\"%28u%5E2%2Aw%29%2F%28v%5E3%29\" Regroup.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28%28u%5E3%29%2F%28w%29%29%2F%28%28uv%5E3%29%2F%28w%5E2%29%29\" simplifies to \"%28u%5E2%2Aw%29%2F%28v%5E3%29\".\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"%28%28u%5E3%29%2F%28w%29%29%2F%28%28uv%5E3%29%2F%28w%5E2%29%29=%28u%5E2%2Aw%29%2F%28v%5E3%29\" where \"u%3C%3E0\", \"v%3C%3E0\", or \"w%3C%3E0\"
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