We can rewrite the expression under the radical as

then taking the fourth root, we get
![\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cleft%28%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%29%5E4%7D%3D%5Cleft%7C%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%7C)
Why the absolute value? It's for the same reason that

since both
and
return the same number
, and
captures both possibilities. From here, we have

The absolute values disappear on all but the
term because all of
,
and
are positive, while
could potentially be negative. So we end up with

Answer:
Slope= y=1/2x+6
Step-by-step explanation:
Hope it helps.
The probability is 3/6 or 0.5 or 1/2.
I got none of the above my answer is 1.6 BTUs/ft3. I did 400 x 8 x 3 for total BTUs = 9600 btus and the volume of the room was 20 x 30 x10 ft = 6000 cu ft so 9600/6000= 1.6 BTUs/ft3