What is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2

The answer is:    .
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Explanation:
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We have:   " 6⁻¹  *  (-2)³  * (-4)⁻² = ? " ;
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Note:  "6⁻¹ =  =  "  .
 
Note the following property of exponents:
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           a⁻ˣ =  ;  {x ≠ 0}.
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Note:  (-2)³  = (-2)*(-2)*(-2) = 4*(-2) = -8 .
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Note:  (-4)⁻²  =   ;
 
                     =  ;

                     =  ;
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So; we have:
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6⁻¹  *  (-2)³  * (-4)⁻²  ;

=   ;

→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since:  "{8÷8=1"} ;

→and we have:

;

 =   .
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 → The answer is:   .
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