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wlad13 [49]
3 years ago
10

Which of the following expressions is equal to 1 divided by 16

Mathematics
1 answer:
Ber [7]3 years ago
6 0
The correct answer is:  [A]:  " (\frac{1}{2})⁴ " .
_______________________________________________

Note:  (\frac{1}{2})⁴  = \frac{1^{4} }{2^{4} } ;

                                                = \frac{1*1*1*1}{2*2*2*2} ;

                                                = \frac{1}{16} .
_______________________________________________________

Consider "Choice [B]" :  "(\frac{1}{2})⁴ " ;

Note:  (\frac{1}{4})⁴ =  \frac{1^{4} }{4^{4} } ;

                                                = \frac{1*1*1*1}{4*4*4*4} ;

                                                = \frac{1}{256} .

Note that:  "\frac{1}{256}" \neq "\frac{1}{16}" .
__________________________________________________________

Consider "Choice [C]" :  "(\frac{1}{8})² " ; 

Note:  (\frac{1}{8})²  = \frac{1^{2} }{8^{2} } ;

                                                = \frac{1*1}{8*8} ;

                                                = \frac{1}{64} .

Note that:  "\frac{1}{64}" \neq "\frac{1}{16}" .
__________________________________________________________
     →  As such, the only correct answer choice is:
__________________________________________________________
Answer choice:   [A]:  " (\frac{1}{2})⁴ " .
__________________________________________________________
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