document.write( "Question 948626: Simplifying rational exponents; negative exponents and fractional bases. I don't understand these problems and need step by step instruction to complete remaining homework. Need to simplify and write without exponents. Please and thank you.\r
\n" ); document.write( "\n" ); document.write( "(1/25)^3/2=?\r
\n" ); document.write( "\n" ); document.write( "64^-2/3\r
\n" ); document.write( "\n" ); document.write( "I appreciate your assistance with the step by step instruction. :)
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Algebra.Com's Answer #579038 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
1.\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F25%29%5E%283%2F2%29\"-> exponent \"3%2F2\" means square root of a number to the power of \"3\"\r
\n" ); document.write( "\n" ); document.write( "so, you have\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F25%29%5E%283%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"sqrt%28%281%2F25%29%5E3%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"sqrt%281%5E3%29%2Fsqrt%2825%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2Fsqrt%28%285%5E2%29%5E3%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2Fsqrt%285%5E2%2A5%5E2%2A5%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F%285%2A5%2A5%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F125\"\r
\n" ); document.write( "\n" ); document.write( "in decimal form: \"0.008\"\r
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\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "\"64%5E-2%2F3\" here you have negative exponent\"-%282%2F3%29\" and to get positive exponent write inverse: \"-%282%2F3%29=1%2F%282%2F3%29\"\r
\n" ); document.write( "\n" ); document.write( "so, you have\r
\n" ); document.write( "\n" ); document.write( "\"64%5E-2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F%2864%5E%282%2F3%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F%28root%283%2C64%5E2%29%29\"...you can write \"64%5E2\" as \"8%5E2%2A8%5E2\",then \r
\n" ); document.write( "\n" ); document.write( "=\"1%2F%28root%283%2C%284%5E3%2A4%5E3%29%29%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F%284%2A4%29\"\r
\n" ); document.write( "\n" ); document.write( "=\"1%2F16\"\r
\n" ); document.write( "\n" ); document.write( "or as decimal \"0.0625\"\r
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