Given expression:
.
![\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Ccdot%20%5C%3Ab%5Cright%29%5En%3Da%5Enb%5En)
![=256^{\frac{1}{4}}\left(x^{16}\right)^{\frac{1}{4}}](https://tex.z-dn.net/?f=%3D256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%5Cleft%28x%5E%7B16%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
![256=4^4](https://tex.z-dn.net/?f=256%3D4%5E4)
![256^{\frac{1}{4}}=\left(4^4\right)^{\frac{1}{4}}=4](https://tex.z-dn.net/?f=256%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cleft%284%5E4%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D4)
![\left(x^{16}\right)^{\frac{1}{4}}=x^{16\cdot \frac{1}{4}}=x^4](https://tex.z-dn.net/?f=%5Cleft%28x%5E%7B16%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3Dx%5E%7B16%5Ccdot%20%5Cfrac%7B1%7D%7B4%7D%7D%3Dx%5E4)
![(256x^{16})^{1/4} =4x^4](https://tex.z-dn.net/?f=%28256x%5E%7B16%7D%29%5E%7B1%2F4%7D%20%3D4x%5E4)
<h3>Therefore, correct option is B option : B.4x^4</h3>
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius is 9 and the height is 20
V = pi ( 9)^2 ( 20)
V = 1620 pi
If we approximate pi by 3.14
V =5086.80 cm^3
If we approximate pi by pi button
V =5089.3800099 cm^3
Answer:
The Answer is P = (-2.5 , 1 )
Step-by-step explanation:
Let, the point is P(x,y)
then, ![x=\frac{m_{1}x_{2}+ m_{2}x_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bm_%7B1%7Dx_%7B2%7D%2B%20m_%7B2%7Dx_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
=>![x=\frac{5*(-1)+ 3*(-5)}{5+3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%2A%28-1%29%2B%203%2A%28-5%29%7D%7B5%2B3%7D)
∴![x=-2.5](https://tex.z-dn.net/?f=x%3D-2.5)
Again, ![y=\frac{m_{1}y_{2}+ m_{2}y_{1}}{m_{1}+m_{2}}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bm_%7B1%7Dy_%7B2%7D%2B%20m_%7B2%7Dy_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%7D)
=>![y=\frac{5*7+ 3*(-9)}{5+3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%2A7%2B%203%2A%28-9%29%7D%7B5%2B3%7D)
∴![y=1](https://tex.z-dn.net/?f=y%3D1)
Thus, P = (-2.5 , 1 )
Is there a problem or something to show for it?