In math, slope<span> is the ratio of the vertical and horizontal changes between </span>two points<span>on a surface or a line. The vertical change between </span>two points<span> is called the rise, and the horizontal change is called the run. The </span>slope<span> equals the rise divided by the run: . This simple equation is called the </span>slope formula<span>.</span>
Answer:
The simplified expression to the given expression is 
Therefore 
Step-by-step explanation:
Given fractional expression is 
To simplify the given expression as below :
![=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E3%29%5E4%28y%5E4%29%5E4%5D%7D%7B%282%29%5E3%28x%5E2%29%5E3%28y%5E6%29%5E3%7D)
( using the property 
)
![=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%7D%7B%282%29%5E3%28x%5E6%29%28y%5E%7B18%7D%29%7D)
^{-3}(x^{-6})(y^{-18})](https://tex.z-dn.net/?f=%3D2%5B%282%29%5E4%28x%5E%7B12%7D%29%28y%5E%7B16%7D%29%5D%282%29%5E%7B-3%7D%28x%5E%7B-6%7D%29%28y%5E%7B-18%7D%29)
( ( using the property 
)
![=2[2^{4-3}x^{12-6}y^{16-18}]](https://tex.z-dn.net/?f=%3D2%5B2%5E%7B4-3%7Dx%5E%7B12-6%7Dy%5E%7B16-18%7D%5D)
( using the property 
)
![=2[2^1x^6y^{-2}]](https://tex.z-dn.net/?f=%3D2%5B2%5E1x%5E6y%5E%7B-2%7D%5D)
( using the property )
Therefore the simplified expression is
Therefore
Answer:
208 ft^3
Step-by-step explanation:
Let the plane through the 4 ft X 4ft square at the top of the figure break the figure into 2 boxes, one has dimensions (8-7) by 3 by 4 = 1ft X 3ft X 4ft, and the other has dimensions 7 by 7 by 4 = 7ft X 7ft X 4ft.
They have volumes of (1)(3)(4) = 12 ft^3, and (7)(7)(4) = 196 ft^3, respectively, so the total volume = 12 + 196 = 208 ft^3, the answer.
The multiplier is (1/4) or .25
I personally don’t know the answer so i can’t help
