a) (7/4)^6 * (2/7)^6
b) (0,8)^4 / (8/3)^4
c) (-6,5)^3 / (-0,13)^3
d) (9/2)^3 * (-2/3)^3 * (-2)^3
e) (5/2)^3 * 0,6^4 * (-1/15)^4
f) 0,3^4 * (8/3)^4 / (-4)^4
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a)
b)
c)
d)![(\frac{9}{2})^3 . (-\frac{2}{3})^3 . (-2)^3=[\frac{9}{2}.(-\frac{2}{3}).(-2)]^3=[(3*(-2)]^3=(-6)^3=-216 (\frac{9}{2})^3 . (-\frac{2}{3})^3 . (-2)^3=[\frac{9}{2}.(-\frac{2}{3}).(-2)]^3=[(3*(-2)]^3=(-6)^3=-216](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B2%7D%29%5E3+.+%28-%5Cfrac%7B2%7D%7B3%7D%29%5E3+.+%28-2%29%5E3%3D%5B%5Cfrac%7B9%7D%7B2%7D.%28-%5Cfrac%7B2%7D%7B3%7D%29.%28-2%29%5D%5E3%3D%5B%283%2A%28-2%29%5D%5E3%3D%28-6%29%5E3%3D-216)
e)![(\frac{5}{2})^3 * 0,6^4 * (-\frac{1}{15})^4= [(\frac{5}{2}*\frac{6}{10}*(-\frac{1}{15})]^4=(-\frac{1}{10})^4=\frac{1}{10000} (\frac{5}{2})^3 * 0,6^4 * (-\frac{1}{15})^4= [(\frac{5}{2}*\frac{6}{10}*(-\frac{1}{15})]^4=(-\frac{1}{10})^4=\frac{1}{10000}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%7D%7B2%7D%29%5E3+%2A+0%2C6%5E4+%2A+%28-%5Cfrac%7B1%7D%7B15%7D%29%5E4%3D+%5B%28%5Cfrac%7B5%7D%7B2%7D%2A%5Cfrac%7B6%7D%7B10%7D%2A%28-%5Cfrac%7B1%7D%7B15%7D%29%5D%5E4%3D%28-%5Cfrac%7B1%7D%7B10%7D%29%5E4%3D%5Cfrac%7B1%7D%7B10000%7D)
f)![0,3^4 * (\frac{8}{3})^4 : (-4)^4 =[\frac{3}{10}*\frac{8}{3}*(-\frac{1}{4})]^4=(-\frac{1}{5})^4=\frac{1}{625} 0,3^4 * (\frac{8}{3})^4 : (-4)^4 =[\frac{3}{10}*\frac{8}{3}*(-\frac{1}{4})]^4=(-\frac{1}{5})^4=\frac{1}{625}](https://tex.z-dn.net/?f=0%2C3%5E4+%2A+%28%5Cfrac%7B8%7D%7B3%7D%29%5E4+%3A+%28-4%29%5E4+%3D%5B%5Cfrac%7B3%7D%7B10%7D%2A%5Cfrac%7B8%7D%7B3%7D%2A%28-%5Cfrac%7B1%7D%7B4%7D%29%5D%5E4%3D%28-%5Cfrac%7B1%7D%7B5%7D%29%5E4%3D%5Cfrac%7B1%7D%7B625%7D)