document.write( "Question 28572: The examples in the book:
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document.write( "a. 27 to the power of 2/3 = (27 to the power of 1/3)squared = (3)squared = 9 {3x3 = 9 yes but why is 9 the answer to 27 to the power of 2/3?
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document.write( "b. 16 to the power of 3/4 = (16 to the power of 1/4)cubed = 2 cubed = 8 {I do not see the relationship between 2 cubed or 8 and (16 to the power of 1/4) cubed.\r
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document.write( "The examples continue in this way and I am stuck. I cannot do any more homework. \n" );
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Algebra.Com's Answer #15581 by askmemath(368)![]() ![]() ![]() You can put this solution on YOUR website! Let me begin by defining Square of a Number \n" ); document.write( "The square of a number is that number multiplied by itself \n" ); document.write( "i.e \n" ); document.write( "Similarly Cube of a number is that number multiplied by itself 3 times \n" ); document.write( "i.e. If X is the number then \n" ); document.write( "\n" ); document.write( "Now 27 = 3*3*3 thus we can say that 3 is the Cube Root of 27 \n" ); document.write( "Any number when raised to the power 1/n and then again raised to power n = the number itself \n" ); document.write( "i.e. \n" ); document.write( "but if it was say 2/n then it becomes \n" ); document.write( "which now becomes the square of the number \n" ); document.write( "thus \n" ); document.write( "\n" ); document.write( "Now can you do for the rest of the numbers? \n" ); document.write( " |