document.write( "Question 114316: please solve n^3=8000 \n" ); document.write( "
Algebra.Com's Answer #83263 by bucky(2189)\"\" \"About 
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One way to begin to solve this equation is to write 8000 in scientific notation. In scientific
\n" ); document.write( "notation 8000 = 8 * 10^3 where \"*\" represents the multiplication operator.
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\n" ); document.write( "Set n^3 equal to this scientific notation for 8000:
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\n" ); document.write( "\"n%5E3+=+8+%2A+10%5E3\"
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\n" ); document.write( "Solve for n by taking the cube root of both sides to get:
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\n" ); document.write( "\"n+=+root%283%2C8%2A10%5E3%29\"
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\n" ); document.write( "but \"root%283%2C8%2A10%5E3%29+=+root%283%2C8%29%2Aroot%283%2C10%5E3%29\"
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\n" ); document.write( "and \"root%283%2C8%29+=+2\" ... and \"root%283%2C10%5E3%29+=+10\"
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\n" ); document.write( "so the equation for n reduces to:
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\n" ); document.write( "\"n+=+root%283%2C8%2A10%5E3%29+=+root%283%2C8%29%2Aroot%283%2C10%5E3%29+=+2%2A10+=+20\"
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\n" ); document.write( "So the answer is \"n+=+20\"
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\n" ); document.write( "Hope this helps you to understand the problem and shows you a calculator-less way to get
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