document.write( "Question 244598: 1. t^2/3= 4 - (\"t\" to the power of 2/3 equals 4). Please show me how to work it and not just give an answer. Thanks \r
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Algebra.Com's Answer #178847 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Exponent rules:
\n" ); document.write( " $\"%28x%5Ea%29%5Eb\"$ = $\"x%5E%28ab%29\"$
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\n" ); document.write( "So, for your problem:
\n" ); document.write( " $\"t%5E%282%2F3%29=+4\"$
\n" ); document.write( "I could raise both to the reciprocal power (3/2) to both sides:
\n" ); document.write( " $\"%28t%5E%282%2F3%29%29%5E%283%2F2%29=+4%5E%283%2F2%29\"$
\n" ); document.write( " $\"t%5E%282%2F3+%2A3%2F2%29=+4%5E%283%2F2%29\"$
\n" ); document.write( " $\"t%5E1=+4%5E%283%2F2%29\"$
\n" ); document.write( " $\"t+=+4%5E%283%2F2%29\"$
\n" ); document.write( "We can rewrite the right side as:
\n" ); document.write( " $\"t+=+%284%5E3%29%5E%281%2F2%29\"$
\n" ); document.write( "But, raising something to the 1/2 is essentially taking the square root:
\n" ); document.write( " $\"t+=+sqrt%284%5E3%29\"$
\n" ); document.write( " $\"t+=+sqrt%284%2A4%2A4%29\"$
\n" ); document.write( "We can take \"pairs\" out from under the radical:
\n" ); document.write( " $\"t+=+4sqrt%284%29\"$
\n" ); document.write( " $\"t+=+4%2A2\"$
\n" ); document.write( " $\"t+=+8\"$
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