(2^3×9^4+9^3×45):(9^2×10-9^2)
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\(\left(2^3\cdot9^4+9^3\cdot45\right):\left(9^2.10-9^2\right)=\)\(\left(8.6561+729.45\right):\left(81.10-81\right)\)
\(=\left(52488+32805\right):\left(810-81\right)\)
\(=\left(85293\right):\left(729\right)\)\(=117\)
\(\left(2^3\cdot9^4+9^3\cdot45\right):\left(9^2\cdot10-9^2\right)\)
\(=\left(8.9^4+9^3.9.5\right):\left(810-81\right)\)
\(=\left(8\cdot9^4+9^4.5\right):729\)
\(=6561\left(8+5\right):729\)
\(=85293:729=117\)
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\(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
\(=\left(2^3.9^4+9^3.\left(9.5\right)\right):\left[9^2.\left(10-1\right)\right]\)
\(=\left[2^3.9^4+9^4.5\right]:\left(9^2.9\right)\)
\(=9^4.\left(2^3+5\right):9^3\)
\(=\left(2^3+5\right).\left(9^4:9^3\right)\)
\(=\left(8+5\right).9\)
\(=13.9\)
\(=117\)
(23 . 94 + 93 . 45) : (92 . 10 - 92)
= (23 . 94 + 94 . 5): [92 . (10 - 1)]
= 94 (23 + 5) : [92 . (10 - 1)]
= 94 . 13 : 93
= 9 . 13
= 117.
Vậy.....
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\(^{\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)}\)
\(=\left(2^3.9^4+9^3.9.5\right):\left[9^2.\left(10-1\right)\right]\)
\(=\left(2^3.9^4+9^4.5\right):\left[9^2.9\right]\)
\(=\left[9^4\left(2^3+5\right)\right]:9^3\)
\(=9^4.13:9^3\)
\(=9.13=117\)
\(\left(2^3.9^4+9^3.45\right):\left(9^2.10-9^2\right)\)
\(=\left(2^3.9^4+9^3.45\right):10\)
\(=\left[2^3.\left(3^2\right)^4+\left(3^2\right)^3.3^2.5\right]:10\)
\(=\left[2^3.3^8+3^6.3^2.5\right]:10\)
\(=\left[2^3.3^8+3^8.5\right]:10\)
\(=\left[3^8.\left(2^3+5\right)\right]:10\)
\(=\left[3^8.\left(8+5\right)\right]:10\)
\(=\left[3^8.13\right]:10\)
Kết quả = 117