Answer:
y = 6x + 24
Step-by-step explanation:
y-12 = 6 (x +2)
distribute and simplify
Answer:
Step-by-step explanation:
C
Answer:
The simplified form is:
or ![\frac{x^{\frac{1}{4}}}{2y^{\frac{1}{6}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%7B2y%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%7D)
Step-by-step explanation:
So we need to find the simplified form of:
![\frac{2x^{\frac{1}{2}}y^{\frac{2}{3}}}{4x^{\frac{1}{4}}y^{\frac{5}{6}}}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dy%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%7B4x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7Dy%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%7D)
We know that:
(a^m)/(a^n) = a^(m-n)
Then:
![\frac{2}{4}x^{\frac{1}{2} - \frac{1}{4} }y^{\frac{2}{3}-\frac{5}{6}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%20-%20%5Cfrac%7B1%7D%7B4%7D%20%7Dy%5E%7B%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B5%7D%7B6%7D%7D)
Simplifien the expression:
![\frac{1}{2}x^{\frac{1}{4}}y^{-\frac{1}{6}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7Dy%5E%7B-%5Cfrac%7B1%7D%7B6%7D%7D)
So, the simplified form is:
or ![\frac{x^{\frac{1}{4}}}{2y^{\frac{1}{6}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%7B2y%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%7D)
X=9 y=343 I don’t know if this is what you want butt
let's recall that anything raised at the 0-power is 1, with the sole exception of zero itself.
![\bf (3^6)^2\cdot 3^0\implies (3^{6\cdot 2})\cdot 1\implies 3^{12}\implies 531441](https://tex.z-dn.net/?f=%5Cbf%20%283%5E6%29%5E2%5Ccdot%203%5E0%5Cimplies%20%283%5E%7B6%5Ccdot%202%7D%29%5Ccdot%201%5Cimplies%203%5E%7B12%7D%5Cimplies%20531441)