document.write( "Question 322986: (1/8)to the negative fourth power? \n" ); document.write( "

Algebra.Com's Answer #231238 by jessica43(140) $\"\"$ $\"About$

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To solve this you need to use one of the basic rules of exponents:
\n" ); document.write( "x^(-n) = 1/(x^n) (where n is any number)
\n" ); document.write( "So in this problem:
\n" ); document.write( "x^(-n) = 1/(x^n)
\n" ); document.write( "(1/8)^(-4) =
\n" ); document.write( "1/((1/8)^4)=
\n" ); document.write( "= 1/(1/4096)
\n" ); document.write( "Dividing by (1/4096) is the same as multiplying by the reciprocal (4096/1). So:
\n" ); document.write( "1/(1/4096)=
\n" ); document.write( "1*(4096/1) =
\n" ); document.write( "4096
\n" ); document.write( "So the answer is 4096. \n" ); document.write( "

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