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(3/429 - 1/1.3)(3/429 - 1/3.5) ... (3/429 - 1/121.123)
= (1/143 - 1/1.3)(1/143 - 1/3.5) ... (1/143 - 1/11.13) ... (1/143 - 1/121.123)
= (1/11.13 - 1/1.3)(1/11.13 - 1/3.5) ... (1/11.13 -1/11.13) ... (1/11.13 - 1/121.123)
= (1/11.13 - 1/1.3)(1/11.13 - 1/3.5) ... 0 ... (1/11.13 - 1/121.123)
= 0
\(\frac{\left(2^3\cdot5\cdot7\right)\cdot\left(5^2\cdot7^3\right)}{\left(2\cdot5\cdot7\right)^2}\)
\(=\frac{2^3\cdot5^3\cdot7^4}{2^2\cdot5^2\cdot7^2}\)
\(=2\cdot5\cdot7^2\)
\(=10\cdot49=490\)
\(\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7\right)^2}\)
\(=\frac{2^3.5^3.7^4}{2^2.5^2.7^2}\)
\(=2.5.7^2\)
\(=\left(2.5\right).7^2\)
\(=10.49\)
\(=490\)
=215x{362:[288x1-(27+5x16)]}
=215x[362:(288-107)]
=215x(362:181)
=215x2
=430
\(\frac{4^5\times3\div0,8\%-\left(-150\right)\times\left(-20\right)\times\left(-5\right)+1000\times5^4\div0,25}{\left(-64\right)\times\left(-1,25\right)\times\left(-2,5\right)\times\left(-5\right)}\)=\(\frac{4^5\times3\times1000:2^3-\left(-150\right)\times100+1000\times5^4\times100:5^2}{64\times125\times25\times5:1000}\)
= \(\frac{\left(2^2\right)^5\times3\times10^3:2^3+15\times10^3+10^5\times5^2}{64\times5^3\times5^2\times5:10^3}\) = \(\frac{2^7\times3\times10^3+3\times5\times10^3+10^5\times5^2}{\left(2^6\times5^6\right):10^3}=\frac{10^3\times\left(2^7\times3+3\times5+10^2\times5^2\right)}{10^3}\)
= \(\left(2^7\times3+3\times5+10^2\times5^2\right)\)
=> \(A=-2^{10}+2^7\times3+3\times5+10^2\times5^2=2^7\left(3-2^3\right)+3\times5+10^2\times5^2\)
= - 27 . 5 + 3.5 + 100 .25 = 5. (-27 + 3 + 500) = 5. 375 = 1875
\(720:\left[41-\left(2x-5\right)\right]=2^3\times5\)
\(720:\left[41-\left(2x-5\right)\right]=40\)
\(\left[41-\left(2x-5\right)\right]=720:40\)
\(2x=23+5\)
\(x=28:2\)
\(x=14\)
\(A=1500-\left\{5^3.2^3-11.\left[7^2-5.2^3+8\left(11^2-121\right)\right]\right\}\)
\(A=1500-\left\{125.8-11.\left[49-5.8+8\left(121-121\right)\right]\right\}\)
\(A=1500-\left\{1000-11\left[49-40+8.0\right]\right\}\)
\(A=1500-\left\{1000-11.9\right\}\)
\(A=1500-\left\{1000-99\right\}\)
\(A=1500-901=599\)
\(420-\left\{121:\left[56-\left(5+2^3\times5^1\right)\right]\right\}\)
\(=420-\left\{121:\left[56-45\right]\right\}\)
\(=420-\left(121:11\right)\)
\(=420-11\)
\(=409\)
420-{121:[56-(5+23.51)]}
= 420 - {121:[56-(5+8.5)]}
= 420 - [121:(56-45)]
= 420 - ( 121 : 11 )
= 420 - 11 = 409