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\(4^2-2^2.3+8.5^0\)
\(=16-4.3+8.1\)
\(=12\)
\(5^4.\left[8^2:4^2.\left(2^3+10^0\right)\right]\)
\(=625.\left[64:16.\left(8+1\right)\right]\)
\(=625.\left(64:16.9\right)\)
\(=22500\)
\(11^2.5^3-11^2.25\)
\(=11^2.\left(5^3-25\right)\)
\(=121.\left(125-25\right)\)
\(=12100\)
học tốt
\(\frac{9^{14}.25^5.8^7}{8^{12}.615^3.25^3}\)
\(=\frac{\left(3^3\right)^{14}.\left(5^2\right)^5.8^7}{8^{12}.\left(3.5.41\right)^3.\left(5^2\right)^3}\)
\(=\frac{3^{42}.5^{10}.8^7}{8^{12}.3^3.5^7.41^3}\)
\(=\frac{3^{39}.5^3}{8^5.41^3}\)
1, 4\(^{x+1}\) + 4\(^0\) = 65
\(\Rightarrow\)4\(^{x+1}\) = 65 - 1
\(\Rightarrow\)x + 1 = 64 : 4
\(\Rightarrow\)x + 1 = 16
\(\Rightarrow\)x = 15
2) 10 + 2x = 16\(^{^2}\): 4\(^3\)
\(\Rightarrow\)10 + 2x = 4
\(\Rightarrow\)2x = 4 - 10
\(\Rightarrow\)2x = -6
\(\Rightarrow\)x = -3
k,(x + 1) + (x + 2) + (x + 3) + .... + (x + 100) = 5750
=> 100x + (1 + 2 + 3 + ... + 100) = 5750
=> 100x + 5050 = 5750
=> 100x = 5750 - 5050
=> 100x = 700
=> x = 700 : 100
=> x = 7
i,92.4 - 27 = (x + 350) : x + 315
=> 1 + 350 : x + 315 = 341
=> 350 : x = 341 - 316 = 25
-> x = 350: 25 = 14