Answer:
4 days a week
Step-by-step explanation:
2+1=3
3+1/2+12=4
A. undefined because the line is vertical
Answer:
Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get ![\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B1%7D%7By%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7Dx%5E3z%5E%7B%5Cfrac%7B5%7D%7B4%7D%20%7D%7D%7D)
Step-by-step explanation:
We need to solve the expression:
![\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2z%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7D%7B%28z%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D.xy%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%5E3%7D)
We know the exponent rule: ![(a^n)^m = a^{nm}](https://tex.z-dn.net/?f=%28a%5En%29%5Em%20%3D%20a%5E%7Bnm%7D)
![\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2z%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7D%7B%28z%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D.xy%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%5E3%7D%5C%5C%5C%5C%3D%5Cfrac%7By%5E2z%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%7D%7Bz%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D.x%5E3y%5E%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%7D)
Now, another exponent rule says that: ![\frac{a^m}{a^n}=a^{m-n}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D)
![=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7By%5E%7B2-%5Cfrac%7B9%7D%7B2%7D%7D%20z%5E%7B%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%7Bx%5E3%7D%5C%5C%3D%5Cfrac%7By%5E%7B%5Cfrac%7B4-9%7D%7B2%7D%7D%20z%5E%7B%5Cfrac%7B1-3%2A2%7D%7B4%7D%20%7D%20%7D%7Bx%5E3%7D%5C%5C%3D%5Cfrac%7By%5E%7B%5Cfrac%7B-5%7D%7B2%7D%7Dz%5E%7B%5Cfrac%7B-5%7D%7B4%7D%20%7D%20%7D%7Bx%5E3%7D)
We also know that: ![a^{-m}=\frac{1}{a^m}](https://tex.z-dn.net/?f=a%5E%7B-m%7D%3D%5Cfrac%7B1%7D%7Ba%5Em%7D)
=![\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7Dx%5E3z%5E%7B%5Cfrac%7B5%7D%7B4%7D%20%7D%7D)
So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get ![\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7B1%7D%7By%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7Dx%5E3z%5E%7B%5Cfrac%7B5%7D%7B4%7D%20%7D%7D%7D)
Answer:
3 only ............ Mark as the brainliest..
Step-by-step explanation:
The difference of 2 squares is equivalent to
(their sum) times (their difference) .
Y² - 49 = (Y + 7) (Y - 7) .