Найди значение выражения с разными степенями.

Конечно, помогу! Давай решим по порядку: 212. $\frac{7^{12}}{7^{10}} = 7^{12-10} = 7^2 = 49$ 213. $\frac{6^9}{6^8} = 6^{9-8} = 6^1 = 6$ 214. $\frac{4^5}{4^6} = 4^{5-6} = 4^{-1} = \frac{1}{4} = 0.25$ 215. $\frac{5^5}{5^7} = 5^{5-7} = 5^{-2} = \frac{1}{5^2} = \frac{1}{25} = 0.04$ 216. $5^4 \cdot 2^4 = (5 \cdot 2)^4 = 10^4 = 10000$ 217. $20^5 \cdot 0.5^5 = (20 \cdot 0.5)^5 = 10^5 = 100000$ 218. $\frac{125^3}{25^3} = (\frac{125}{25})^3 = 5^3 = 125$ 219. $\frac{32^5}{16^5} = (\frac{32}{16})^5 = 2^5 = 32$ 220. $5^{-1} + 3^0 = \frac{1}{5} + 1 = 0.2 + 1 = 1.2$ 221. $2^{-2} + 7^0 = \frac{1}{2^2} + 1 = \frac{1}{4} + 1 = 0.25 + 1 = 1.25$ 222. $270 \cdot (\frac{1}{3})^2 + 7 \cdot \frac{1}{7} = 270 \cdot \frac{1}{9} + 1 = 30 + 1 = 31$ 223. $500 \cdot (\frac{1}{5})^3 + 16 \cdot \frac{1}{4} = 500 \cdot \frac{1}{125} + 4 = 4 + 4 = 8$ 224. $\frac{7^5 \cdot 7^8}{7^{11}} = \frac{7^{5+8}}{7^{11}} = \frac{7^{13}}{7^{11}} = 7^{13-11} = 7^2 = 49$ 225. $\frac{4^{12} \cdot 4^3}{4^{12}} = \frac{4^{12+3}}{4^{12}} = \frac{4^{15}}{4^{12}} = 4^{15-12} = 4^3 = 64$ 226. $\frac{5^{-5} \cdot 5^{-6}}{5^{-14}} = \frac{5^{-5-6}}{5^{-14}} = \frac{5^{-11}}{5^{-14}} = 5^{-11 - (-14)} = 5^{-11+14} = 5^3 = 125$ 227. $\frac{3^{-12} \cdot 3^{-4}}{3^{-16}} = \frac{3^{-12-4}}{3^{-16}} = \frac{3^{-16}}{3^{-16}} = 1$ 228. $0.08 \cdot (-10)^4 + 20 = 0.08 \cdot 10000 + 20 = 800 + 20 = 820$ 229. $0.8 + 0.2 \cdot (-10)^2 = 0.8 + 0.2 \cdot 100 = 0.8 + 20 = 20.8$ 230. $0.1 \cdot (-10)^3 - 41 = 0.1 \cdot (-1000) - 41 = -100 - 41 = -141$ 231. $2.3 - 2.6 \cdot (-10)^3 = 2.3 - 2.6 \cdot (-1000) = 2.3 + 2600 = 2602.3$ 232. $(5 \cdot 10^3)^2 \cdot (4 \cdot 10^{-4}) = (25 \cdot 10^6) \cdot (4 \cdot 10^{-4}) = 100 \cdot 10^{6-4} = 100 \cdot 10^2 = 100 \cdot 100 = 10000$ 233. $(3 \cdot 10^2)^3 \cdot (2 \cdot 10^{-5}) = (27 \cdot 10^6) \cdot (2 \cdot 10^{-5}) = 54 \cdot 10^{6-5} = 54 \cdot 10 = 540$ 234. $(23 \cdot 10^{-1}) \cdot (6 \cdot 10^{-2}) = 23 \cdot 6 \cdot 10^{-1-2} = 138 \cdot 10^{-3} = 0.138$ 235. $(0.22 \cdot 10^5) \cdot (400 \cdot 10^{-3}) = 0.22 \cdot 400 \cdot 10^{5-3} = 88 \cdot 10^2 = 8800$ 236. $5 \cdot 10^{-2} + 4 \cdot 10^{-3} + 7 \cdot 10^{-4} = 0.05 + 0.004 + 0.0007 = 0.0547$ 237. $6 \cdot 10^{-4} + 4 \cdot 10^{-2} + 7 \cdot 10^{-1} = 0.0006 + 0.04 + 0.7 = 0.7406$ 238. $600 \cdot (-0.1)^3 - 40 \cdot (-0.1)^2 - 4 = 600 \cdot (-0.001) - 40 \cdot (0.01) - 4 = -0.6 - 0.4 - 4 = -5$ 239. $200 \cdot (-0.1)^4 - 50 \cdot (-0.1)^2 + 7 = 200 \cdot (0.0001) - 50 \cdot (0.01) + 7 = 0.02 - 0.5 + 7 = 6.52$ 240. $0.5 \cdot (-4)^3 + 0.5 \cdot (-4)^2 + 16 = 0.5 \cdot (-64) + 0.5 \cdot (16) + 16 = -32 + 8 + 16 = -8$ 241. $0.2 \cdot (-5)^2 + 0.2 \cdot (-5)^3 - 30 = 0.2 \cdot (25) + 0.2 \cdot (-125) - 30 = 5 - 25 - 30 = -50$ Надеюсь, теперь всё понятно!