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\(\left(5^2\times2^3-7^3\times2\right)\div2\times6-7\div2^5\)
\(=\left(25\times8-343\times2\right)\div2\times6-7\div32\)
\(=\left(200-686\right)\div2\times6-7\div32\)
\(=-486\div2\times6-7\div32\)
\(=-1458-0,21875\)
\(=-1458,21875\)
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\(\left(5^2.2^3-7^3.2\right):\left(2.6-7:2^5\right)\\ =\left(25.8-343.2\right):\left(12-7:32\right)\\ =\left(200-686\right):\left(12-\dfrac{7}{32}\right)\\ =-486:\dfrac{377}{32}=-486.\dfrac{32}{377}=-\dfrac{15552}{377}\)
(5^2*2^3-7^3*2):2*6-7:2^5
=(25*8-343*2):3-7/32
=-162-7/32=-5191/32
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\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)
\(b,\)Tương tự
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\(4^2\cdot120-4^3\cdot17+4^2\cdot34\)
\(=4^2\left(120-4\cdot17+34\right)\)
\(=16\left(120-68+34\right)\)
\(=16\cdot86=1088\)
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\(36\cdot4-4\cdot\left[82-7\cdot11\right]^2:4-2016^0\)
=9-1-5^2
=8-25=-17