Answer:
3
х
+
5
+
2
х
5
х
+
5
Solution
5
х
+
5
Step-by-step explanation:
Answer:
![=\frac{81m^2n^5}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E2n%5E5%7D%7B8%7D)
Step-by-step explanation:
One is given the following expression:
![\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}](https://tex.z-dn.net/?f=%5Cfrac%7B%283m%5E-%5E1n%5E2%29%5E4%7D%7B%282m%5E-%5E2n%29%5E3%7D)
Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:
![=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%283m%5E-%5E1n%5E2%29%5E4%7D%7B%282m%5E-%5E2n%29%5E3%7D)
![=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%5E4m%5E%28%5E-%5E1%5E%29%5E%28%5E4%5E%29n%5E%28%5E2%5E%29%5E%28%5E4%5E%29%7D%7B2%5E3m%5E%28%5E-%5E2%5E%29%5E%28%5E3%5E%29n%5E3%7D)
![=\frac{81m^-^4n^8}{8m^-^6n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4n%5E8%7D%7B8m%5E-%5E6n%5E3%7D)
Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:
![=\frac{81m^-^4n^8}{8m^-^6n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4n%5E8%7D%7B8m%5E-%5E6n%5E3%7D)
![=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E%28%5E-%5E4%5E%29%5E-%5E%28%5E-%5E6%5E%29n%5E%28%5E8%5E%29%5E-%5E%28%5E3%5E%29%7D%7B8%7D)
![=\frac{81m^-^4^+^6n^8^-^3}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4%5E%2B%5E6n%5E8%5E-%5E3%7D%7B8%7D)
![=\frac{81m^2n^5}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E2n%5E5%7D%7B8%7D)
8s-8 is answer
Just distribute
Answer:
Se requiere un 20 por ciento de descuento.
Step-by-step explanation:
(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)
Sea
el precio original del computador portatil, el nuevo precio es:
![p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}](https://tex.z-dn.net/?f=p_%7B1%7D%20%3D%5Cleft%28%5Cfrac%7B100%5C%2C%5C%25%20%2B%2025%5C%2C%5C%25%7D%7B100%5C%2C%5C%25%7D%20%5Cright%29%5Ccdot%20p_%7Bo%7D)
![p_{1} = 1.25\cdot p_{o}](https://tex.z-dn.net/?f=p_%7B1%7D%20%3D%201.25%5Ccdot%20p_%7Bo%7D)
Si
, entonces el porcentaje requerido para recuperar el precio original es:
![r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%](https://tex.z-dn.net/?f=r%20%3D%20%5Cleft%281-%5Cfrac%7Bp_%7B2%7D%7D%7Bp_%7B1%7D%7D%20%5Cright%29%5Ctimes%20100%5C%2C%5C%25)
![r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%](https://tex.z-dn.net/?f=r%20%3D%20%5Cleft%281-%5Cfrac%7Bp_%7Bo%7D%7D%7B1.25%5Ccdot%20p_%7Bo%7D%7D%20%5Cright%29%5Ctimes%20100%5C%2C%5C%25)
![r = \left(1-\frac{1}{1.25} \right)\times 100\,\%](https://tex.z-dn.net/?f=r%20%3D%20%5Cleft%281-%5Cfrac%7B1%7D%7B1.25%7D%20%5Cright%29%5Ctimes%20100%5C%2C%5C%25)
![r = 20\,\%](https://tex.z-dn.net/?f=r%20%3D%2020%5C%2C%5C%25)
Se requiere un 20 por ciento de descuento.
Answer:
y=1/3x+5/3
Step-by-step explanation:
y=1/3x+b
1=1/3(-2)+b (plug in ya points)
1=-2/3+b
5/3=b
y=1/3x+5/3