Answer:
![\frac{81}{m^7}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7Bm%5E7%7D)
Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :
![(3m^{-4} )^3(3m^5)](https://tex.z-dn.net/?f=%283m%5E%7B-4%7D%20%29%5E3%283m%5E5%29)
Remove the parenthesis around 3m^5 :
![(3m^{-4} )^3*3m^5](https://tex.z-dn.net/?f=%283m%5E%7B-4%7D%20%29%5E3%2A3m%5E5)
Do the exponent rule for outside and inside exponent parenthesis :
![(3m^{-4*3} )](https://tex.z-dn.net/?f=%283m%5E%7B-4%2A3%7D%20%29)
![3^3m^{-12} *3m^5](https://tex.z-dn.net/?f=3%5E3m%5E%7B-12%7D%20%2A3m%5E5)
Apply addition exponent rule :
![m^{-12} *3^{3+1} m^5](https://tex.z-dn.net/?f=m%5E%7B-12%7D%20%2A3%5E%7B3%2B1%7D%20m%5E5)
Add :
![m^{-12} *3^4m^5](https://tex.z-dn.net/?f=m%5E%7B-12%7D%20%2A3%5E4m%5E5)
Apply the addition rule for -12 + 5 :
![3^{4} m^{-7}](https://tex.z-dn.net/?f=3%5E%7B4%7D%20m%5E%7B-7%7D)
Apply negative exponent rule for m^-7 :
![3^4*\frac{1}{m^7}](https://tex.z-dn.net/?f=3%5E4%2A%5Cfrac%7B1%7D%7Bm%5E7%7D)
Multiply the fractions :
![\frac{1*3^4}{m^7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A3%5E4%7D%7Bm%5E7%7D)
![\frac{81}{m^7}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7Bm%5E7%7D)
The answer should be gallons per minute
The price changed by $42 over the course of seven weeks
Answer:0.4
Step-by-step explanation:
Answer:
f(x) = 25.50x Roberto can buy 7 video games
Step-by-step explanation:
Each game is $25.50 which in math means it has an "x"
So if x=1 then 25.50x says that 1 video game is $25.50
Set up the equation:
200 = 25.50x (divide both sides by 25.50 to isolate the x)
200/25.50 = 7.84
x = 7.84
You can't have 0.84 of a video game, so Roberto can only buy 7 of them.