Wyznacz wartość wyrażenia dla x=-5 i y=2
a)x-² + y²
b)(-xy²)²
c)(x-2y-²)²
d)(3x-²y)²
Z góry dziękuje [:
a)x-² + y²
b)(-xy²)²
c)(x-2y-²)²
d)(3x-²y)²
Z góry dziękuje [:
heh
![a)\ x^{-2}+y^{2}=(-5)^{-2}+2^{2}=(-\frac{1}{5})^{2}+4=\frac{1}{25}+4=4\frac{1}{25}\\ -----\\ b)\ (-xy^{2})^{2}=(-(-5)*2^{2})^{2}=(5*4)^{2}=20^{2}=400\\ -----\\ c)\ (x-2y^{-2})^{2}=(-5-2*2^{-2})^{2}=[-5-2*(\frac{1}{2})^{2}]^{2}=(-5-2*\frac{1}{4})^{2}=\\ =(-\frac{10}{2}-\frac{1}{2})^{2}=(-\frac{11}{2})^{2}=\frac{121}{4}=30\frac{1}{4}\\ -----\\ d)\ (3x^{-2y})^{2}=(3*(-5)^{-2}*2)^{2}=(3*\frac{1}{25}*2)^{2}=(\frac{6}{25})^{2}=\frac{36}{625}](https://tex.z-dn.net/?f=a%29%5C+x%5E%7B-2%7D%2By%5E%7B2%7D%3D%28-5%29%5E%7B-2%7D%2B2%5E%7B2%7D%3D%28-%5Cfrac%7B1%7D%7B5%7D%29%5E%7B2%7D%2B4%3D%5Cfrac%7B1%7D%7B25%7D%2B4%3D4%5Cfrac%7B1%7D%7B25%7D%5C%5C%0A-----%5C%5C%0Ab%29%5C+%28-xy%5E%7B2%7D%29%5E%7B2%7D%3D%28-%28-5%29%2A2%5E%7B2%7D%29%5E%7B2%7D%3D%285%2A4%29%5E%7B2%7D%3D20%5E%7B2%7D%3D400%5C%5C%0A-----%5C%5C%0Ac%29%5C+%28x-2y%5E%7B-2%7D%29%5E%7B2%7D%3D%28-5-2%2A2%5E%7B-2%7D%29%5E%7B2%7D%3D%5B-5-2%2A%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%5D%5E%7B2%7D%3D%28-5-2%2A%5Cfrac%7B1%7D%7B4%7D%29%5E%7B2%7D%3D%5C%5C%0A%3D%28-%5Cfrac%7B10%7D%7B2%7D-%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%3D%28-%5Cfrac%7B11%7D%7B2%7D%29%5E%7B2%7D%3D%5Cfrac%7B121%7D%7B4%7D%3D30%5Cfrac%7B1%7D%7B4%7D%5C%5C%0A-----%5C%5C%0Ad%29%5C+%283x%5E%7B-2y%7D%29%5E%7B2%7D%3D%283%2A%28-5%29%5E%7B-2%7D%2A2%29%5E%7B2%7D%3D%283%2A%5Cfrac%7B1%7D%7B25%7D%2A2%29%5E%7B2%7D%3D%28%5Cfrac%7B6%7D%7B25%7D%29%5E%7B2%7D%3D%5Cfrac%7B36%7D%7B625%7D "a)\ x^{-2}+y^{2}=(-5)^{-2}+2^{2}=(-\frac{1}{5})^{2}+4=\frac{1}{25}+4=4\frac{1}{25}\\ -----\\ b)\ (-xy^{2})^{2}=(-(-5)*2^{2})^{2}=(5*4)^{2}=20^{2}=400\\ -----\\ c)\ (x-2y^{-2})^{2}=(-5-2*2^{-2})^{2}=[-5-2*(\frac{1}{2})^{2}]^{2}=(-5-2*\frac{1}{4})^{2}=\\ =(-\frac{10}{2}-\frac{1}{2})^{2}=(-\frac{11}{2})^{2}=\frac{121}{4}=30\frac{1}{4}\\ -----\\ d)\ (3x^{-2y})^{2}=(3*(-5)^{-2}*2)^{2}=(3*\frac{1}{25}*2)^{2}=(\frac{6}{25})^{2}=\frac{36}{625}")
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