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labwork [276]
3 years ago
13

Evaluate this equation: 6^-3 Divided by 6^1

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0
 The answer is:  1/1,296 .
_______________________________________________________
6⁻³ / 6¹ = 6⁽⁻³⁻¹⁾ = 6⁻⁴ = 1/6⁴ = 1/ (6 * 6 * 6 * 6) = 1/1,296 .
_______________________________________________________
Or;
_______________________________________________________
 6⁻³ / 6¹ = (1/6³) ÷ 6¹ = (1/6³) ÷ 6 = (1/6³) *(1/6 ) = (1*1) /(6³ * 6) ;
_______________________________________________________ 
                                                                         = 1/(6³ * 6¹) ;
_______________________________________________________
                                                                         = 1/(6⁽³⁺¹⁾) ;
_______________________________________________________
                                                                         = 1 / 6⁴ ;
_______________________________________________________
                                                                         = 1/ (6*6*6*6) ;
_______________________________________________________
                                                                         = 1/ 1,296 .
_______________________________________________________
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