document.write( "Question 1179387: Evaluate: (-1)^2/3\r
\n" ); document.write( "\n" ); document.write( "In general, how can I evaluate when the base is negative and the exponent is a fraction? \n" ); document.write( "

Algebra.Com's Answer #808926 by ikleyn(52754) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In this problem, you can move any of the two ways.\r
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document.write( "Take  first  (-1)^(1/3) =  = -1.\r\n" );
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document.write( "      Then square is   = 1.      ANSWER\r\n" );
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document.write( "      So, I calculated  (-1)^(2/3)   according this formula  (-1)^(2/3) = ((-1)^(1/3))^2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Way 2\r
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document.write( "Take  first  (-1)^2 = 1.\r\n" );
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document.write( "      Then take the degree  (1/3)  of it  1^(1/3) = 1.      ANSWER\r\n" );
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document.write( "      So, this time I calculated  (-1)^(2/3)   according this formula  (-1)^(2/3) = ((-1)^2)^(1/3).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Both ways lead you to the same result.\r
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document.write( "    To calculate  a^(m/n),  you can raise  \"a\"  to degree  m  first,  and then take the root of the degree  n.\r\n" );
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document.write( "    Or you can do it differently:  To calculate  a^(m/n),  you can take the degree  \"n\"  root of  \"a\" \r\n" );
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document.write( "    and then raise it to degree \"m\".\r\n" );
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document.write( "    Both ways lead to the same answer, if you make all intermediate calculations correctly.\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you still have questions, DO NOT HESITATE to ask them.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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