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:
Option 1: CD is a perpendicular bisector of AB
Step-by-step explanation:
Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.
Formula to find slope

Formula to Find Distance between two points

mAB ( represents , Slope of AB )
1. 
2. 
3. 
4. 
5. 
mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is 



Hence CD ⊥ AB
Also
From Point 4 and point 5 above , we see that
AC = CB
Hence CD bisect AB at C, also CD ⊥ AB
There fore
CD is a perpendicular bisector of AB
Therefor option 1 is true
Answer:
56
Step-by-step explanation:
The angle sum theorem *I think* is that for an n-sided shape, the total sum of its angles is 180(n-2).
The sum of a triangles' angles is 180 degrees.
Therefore 4v-44 = 180.
v - 11 = 45
v = 56 degrees
Note: always check if the answer makes sense
Answer:
Malcolm would fill 8 bags of rice.
Step-by-step explanation:
The size of the container of rice = 5
pounds =
pounds.
Each bag of rice has a capacity of
pounds.
The number of bags of rice that Malcolm fills = 
=
÷ 
=
x 
= 
= 8
Therefore, Malcolm would be able to fill 8 bags of rice.