document.write( "Question 339871: How do I solve with a fraction as power?
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document.write( "x^3/4 = -8 \n" );
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Algebra.Com's Answer #243525 by Jk22(389)![]() ![]() You can put this solution on YOUR website! x^3/4 = -8 | ^4/3 (x^a)^(1/a)=x^(a/a)=x^1=x\r \n" ); document.write( "\n" ); document.write( "x=(-8)^(4/3)=(-2)^4=16 (3root(-8)=-2, indeed, -2*-2*-2=-8)\r \n" ); document.write( "\n" ); document.write( "Verify : 16^(1/4)=+/-2, (+/-2)^3=+/-8.\r \n" ); document.write( "\n" ); document.write( "( ! However on a calculator, x^q, q rational, is not defined for x<0) \n" ); document.write( " |