Answer:
8
Step-by-step explanation:
<span>The best answer is C because 2.17 x 2=4.34
</span><span>C. Its value for group A is double the value for Group B.</span>
The correct answer is:
[A]: "
(
)⁴ " .
_______________________________________________
Note: (
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
)⁴ =
![\frac{1^{4} }{2^{4} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%5E%7B4%7D%20%7D%7B2%5E%7B4%7D%20%7D%20)
;
=
![\frac{1*1*1*1}{2*2*2*2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%2A1%2A1%2A1%7D%7B2%2A2%2A2%2A2%7D%20)
;
=
![\frac{1}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%7D%20)
.
_______________________________________________________Consider "
Choice [B]" : "
(
)⁴ " ;
Note: (
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
)⁴ =
![\frac{1^{4} }{4^{4} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%5E%7B4%7D%20%7D%7B4%5E%7B4%7D%20%7D%20)
;
=
![\frac{1*1*1*1}{4*4*4*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%2A1%2A1%2A1%7D%7B4%2A4%2A4%2A4%7D%20)
;
=
![\frac{1}{256}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B256%7D%20)
.
Note that: "
![\frac{1}{256}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B256%7D%20)
"
![\neq](https://tex.z-dn.net/?f=%20%5Cneq%20)
"
![\frac{1}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%7D%20)
" .
__________________________________________________________Consider "
Choice [C]"
: "
(
)² " ;
Note: (
![\frac{1}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20)
)² =
![\frac{1^{2} }{8^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%5E%7B2%7D%20%7D%7B8%5E%7B2%7D%20%7D%20)
;
=
![\frac{1*1}{8*8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%2A1%7D%7B8%2A8%7D%20)
;
=
![\frac{1}{64}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B64%7D%20)
.
Note that: "
![\frac{1}{64}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B64%7D%20)
"
![\neq](https://tex.z-dn.net/?f=%20%5Cneq%20)
"
![\frac{1}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%7D%20)
" .
__________________________________________________________ → As such, the only correct answer choice is:
__________________________________________________________Answer choice: [A]: "
(
)⁴ " .
__________________________________________________________