document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155378>Question 1155378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain how you would determine which of the following powers is greater, WITHOUT actually evaluating the powers. Show your work and/or explain your answer.\r<BR>\n" );
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document.write( "20^100 OR 400^40 </SPAN>\n" );
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document.write( "which of the following powers is greater\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E100 ALIGN=MIDDLE  ALT=\"20%5E100\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%5E40 ALIGN=MIDDLE  ALT=\"400%5E40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E100 ALIGN=MIDDLE  ALT=\"20%5E100\"   DISABLED_style= \"max-width:90%; height:auto;\" > is greater.\r<BR>\n" );
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document.write( "explanation: \r<BR>\n" );
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document.write( "first I noticed that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400 ALIGN=MIDDLE  ALT=\"400\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%5E2 ALIGN=MIDDLE  ALT=\"20%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%5E40 ALIGN=MIDDLE  ALT=\"400%5E40\"   DISABLED_style= \"max-width:90%; height:auto;\" > is same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820%5E2%29%5E40=20%5E80 ALIGN=MIDDLE  ALT=\"%2820%5E2%29%5E40=20%5E80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, comparing exponents, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" > is greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80 ALIGN=MIDDLE  ALT=\"80\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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