document.write( "Question 1194006: What is the simplified/expanded form of 16 to the -2/3 power? I know that if it was a non-negative exponent, the answer would just be cube root of (16²). But since the negative sign means it will be inversed (meaning become a fraction), what is the numerator and what is the denominator? \n" ); document.write( "

Algebra.Com's Answer #826093 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "What is the simplified/expanded form of 16 to the -2/3 power?
\n" ); document.write( "I know that if it was a non-negative exponent,
\n" ); document.write( "the answer would just be cube root of (16²).
\n" ); document.write( "But since the negative sign means it will be inversed (meaning become a fraction),
\n" ); document.write( "what is the numerator and what is the denominator?
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document.write( "As you know,  16^(2/3)  =  = .\r\n" );
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document.write( "The sign minus, \" - \" in the degree index,  16^(-2/3)  leads this number to the denominator, so\r\n" );
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document.write( "    16^(-2/3) = .\r\n" );
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document.write( "If you want, you may calculate it using your calculator, or you may transform it further \r\n" );
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document.write( "    16^(-2/3) =  =  = \r\n" );
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document.write( "and then apply your calculator to this formula.\r\n" );
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