document.write( "Question 72726: 1) Explain an advantage of rational exponents over the radical sign\r
\n" ); document.write( "\n" ); document.write( "2) Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively. Round to the tenth's place\r
\n" ); document.write( "\n" ); document.write( "3)The volume of a cube is given by V = s3. Find the length of a side of a cube if the Volume is 729 cm3. \r
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Algebra.Com's Answer #52006 by Earlsdon(6294)\"\" \"About 
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1) One advantage is when multiplying. For example:
\n" ); document.write( "\"sqrt%283%29sqrt%283%29\" This is easier to understand when written this way: \"3%5E%281%2F2%29+%2A+3%5E%281%2F2%29+=+3%5E%28%28%281%2F2%29%2B%281%2F2%29%29%29\" = \"3%5E1+=+3\"\r
\n" ); document.write( "\n" ); document.write( "2) For this problem, use the Pythagorean theorem: \"c%5E2+=+a%5E2%2Bb%5E2\"
\n" ); document.write( "a=35 km and b = 65 km. Let d = the unknown distance.
\n" ); document.write( "\"d%5E2+=+35%5E2%2B65%5E2\" Simplify.
\n" ); document.write( "\"d%5E2+=+1225%2B4225\"
\n" ); document.write( "\"d%5E2+=+5450\" Take the square root of both sides.
\n" ); document.write( "\"d+=+sqrt%285450%29\"
\n" ); document.write( "\"d+=+73.824\"
\n" ); document.write( "\"d+=+73.8\"km. (Rounded to the nearest tenth)\r
\n" ); document.write( "\n" ); document.write( "3) \"V+=+s%5E3\" To find s, take the cube root of both sides.
\n" ); document.write( "\"729+=+s%5E3\" Take the cube root.
\n" ); document.write( "\"9+=+s\" The length of the side is 9 cm.
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