document.write( "Question 427713: If 16^n=64, then what is the value of 4^-n? \n" ); document.write( "
Algebra.Com's Answer #297437 by Gogonati(855)\"\" \"About 
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Solution:\"16%5En=64\" we rewrite this equation:\r
\n" ); document.write( "\n" ); document.write( "\"4%5E%282n%29=4%5E3\", since bases are equal, to hold the equality needed: 2n=3 \r
\n" ); document.write( "\n" ); document.write( "=>n=3/2.\r
\n" ); document.write( "\n" ); document.write( "We plug n=3/2 to \"4%5En\" and find the value of this expression:\r
\n" ); document.write( "\n" ); document.write( "\"4%5En=%28%282%29%5E2%29%5E%283%2F2%29\"=\r
\n" ); document.write( "\n" ); document.write( " = \"2%5E3=8\"
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