document.write( "Question 1021250: So I'm having to simplify the square root of this problem with \"x\" and \"y\" having exponents. Afterward I check my answer by raising it to the 2nd power. I have looked through my text and online at examples but I feel like I'm missing something. The problem is:\r
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document.write( "sqrt64x^14y^20\r
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document.write( "Simplified, it is 8x^14y^20. Once I raise it to the second power, it changes to 64x^28y^40
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document.write( "I feel like the power of \"x\" and \"y\" should have changed when simplified. Should it? \n" );
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Algebra.Com's Answer #637006 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! if you mean \n" ); document.write( ": \n" ); document.write( "square root(64 * x^14 * y^20) where * means multiply, then \n" ); document.write( ": \n" ); document.write( "square root(64 * x^14 * y^20) = + or - (8 * x^7 * y^10) \n" ); document.write( ": \n" ); document.write( "when like bases are multiplied, you add the exponents, i.e. \n" ); document.write( ": \n" ); document.write( "x^14 = x^7 * x^7 \n" ); document.write( " \n" ); document.write( " |