document.write( "Question 74022This question is from textbook Intermediate Algebra
\n" ); document.write( ": Simplify using rules of exponents
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\n" ); document.write( "(2x^-1y^2)^-3\r
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\n" ); document.write( "\n" ); document.write( "#38.
\n" ); document.write( "(-2y^2/x)^-3
\n" ); document.write( "Thank you.
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Algebra.Com's Answer #53025 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Please help me simplify using the rules of exponents!
\n" ); document.write( "#26
\n" ); document.write( "\"%282x%5E%28-1%29y%5E2%29%5E%28-3%29\" Change the outermost negative exponent (-3) to a positive value by putting the expression down in the denominator, thus:
\n" ); document.write( "\"1%2F%282x%28-1%29y%5E2%29%5E3\" Now change the negative exponent of x (-1) to a positive vlue by putting up in the numerator, thus:
\n" ); document.write( "\"%28x%2F2y%5E2%29%5E3\" Finally, multiply the exponent of every factor inside the parentheses by the outermost expont (3).
\n" ); document.write( "\"x%5E3%2F8y%5E6\"\r
\n" ); document.write( "\n" ); document.write( "#38
\n" ); document.write( "\"%28%28-2%29y%5E2%2Fx%29%5E%28-3%29\" Here you can change the outermost negative exponent (-3) to a positive value simply by inverting the expression, thus:
\n" ); document.write( "\"%28x%2F-2y%5E2%29%5E3\" Finally, multiply the exponent of evey factor inside the parentheses by the outermost exponent (3).
\n" ); document.write( "\"x%5E3%2F-8y%5E6\" or \"-x%5E3%2F8y%5E6\"
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