Answer:
multiply the number its self 3 times , for example 3x3x3=27 = 3^3
Step-by-step explanation:
Answer:
![y = 3(7)^x](https://tex.z-dn.net/?f=y%20%3D%203%287%29%5Ex)
Step-by-step explanation:
Given
![(x_1,y_1) = (0,3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C3%29)
![(x_2,y_2) = (4,7203)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%284%2C7203%29)
Required
Determine an exponential function
Substitute 0 for x and 3 for y in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![3 = ab^0](https://tex.z-dn.net/?f=3%20%3D%20ab%5E0)
![3 = a*1](https://tex.z-dn.net/?f=3%20%3D%20a%2A1)
![3 = a](https://tex.z-dn.net/?f=3%20%3D%20a)
![a = 3](https://tex.z-dn.net/?f=a%20%3D%203)
Substitute 4 for x and 7203 for y in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![7203= ab^4](https://tex.z-dn.net/?f=7203%3D%20ab%5E4)
Substitute 3 for a
![7203= 3*b^4](https://tex.z-dn.net/?f=7203%3D%203%2Ab%5E4)
Divide both sides by 3
![2401= b^4](https://tex.z-dn.net/?f=2401%3D%20b%5E4)
Take 4th root of both sides
![\sqrt[4]{2401} = b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2401%7D%20%3D%20b)
![7 = b](https://tex.z-dn.net/?f=7%20%3D%20b)
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
Substitute 3 for a and 7 for b in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![y = 3(7)^x](https://tex.z-dn.net/?f=y%20%3D%203%287%29%5Ex)
Answer:
V = a^7b^3
Step-by-step explanation:
Volume = length × width × height
Vol =
a^2 × a^4b^2 × ab
This is all multiplication, so we can rearrange.
a^7b^3
This is a to the seventh power times b to the 3rd power.
Answer:
3b
Step-by-step explanation: