Answer:
![\large\boxed{\dfrac{27}{80}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B27%7D%7B80%7D%7D)
Step-by-step explanation:
Put x = 3, y = 2 and z = 5 to the given expression
:
![10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}](https://tex.z-dn.net/?f=10%283%5E3%29%282%5E%7B-5%7D%29%285%5E%7B-2%7D%29%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%3D%5Cdfrac%7B10%2827%29%7D%7B%282%5E5%29%285%5E2%29%7D%3D%5Cdfrac%7B270%7D%7B%2832%29%2825%29%7D%3D%5Cdfrac%7B270%7D%7B800%7D%3D%5Cdfrac%7B27%7D%7B80%7D)
8 x 4 x 2 = 64
Therefore the volume of the pond is equal to 64m³
Answer:
-99
Step-by-step explanation:
![a = 15 \\ d = - 6 \\ {n}^{th} term = a + (n + 1)d = 15 + (n - 1)( - 6) \\ {20}^{th} term =15 + (20 - 1)( - 6) = 15 - 114 = - 99](https://tex.z-dn.net/?f=a%20%3D%2015%20%5C%5C%20d%20%3D%20%20-%206%20%5C%5C%20%20%7Bn%7D%5E%7Bth%7D%20term%20%3D%20a%20%2B%20%28n%20%2B%201%29d%20%20%3D%2015%20%2B%20%28n%20-%201%29%28%20-%206%29%20%5C%5C%20%20%7B20%7D%5E%7Bth%7D%20term%20%3D15%20%2B%20%2820%20-%201%29%28%20-%206%29%20%3D%2015%20-%20114%20%3D%20%20-%2099%20)
Answer:
6x+3
Step-by-step explanation:
8x +7 - 2x - 4
8x-2x+7-4 ( combine like terms)
answer:
6x+3
Reminder:Whenever combining like terms, the sign changes the same
Hope this helps and make sure to thank me!
Answer:
Wait what?
Step-by-step explanation: