(bài hơi dài)
bài 1:
a,23-53:52+12.22
b,5[(85-35:7):8+90]-50
c,2.[(7-33:32):22+99]-100
d,27:22+54:53.24-3.25
e,(35.37):310+5.24-73:7
f,32.[(52-3):11]-24+2.103
g,(62007-62006):62006
h,(52001-52000):52000
i,(72005+72004):72004
j,(57+75).(68+86).(24-42)
k,(75+79).(54+56).(33.3)-92
l,[(52.23)-72.2):2].6-7.25.
giúp em vs ạ
`a, 2^3 - 5^3 : 5^2 + 12 . 2^2`
` = 8 - 125 : 25 + 12 . 4`
` = 8 - 5 + 48`
` = 3 + 48`
` = 51`
`b, 5[( 85 - 35 : 7 ) : 8 +90] - 50`
` = 5[( 85 - 5) : 8 + 90 ] - 50`
` = 5[ 80 : 8 + 90] - 50`
` = 5[ 10 + 90 ] - 50`
` = 5 . 100 - 50`
` = 500 - 50`
` = 450`
`c, 2.[( 7 - 3^3 : 3^2 ) : 2^2 + 99] - 100`
` = 2.[( 7 - 27 : 9) : 4 + 99] - 100`
` = 2.[( 7 - 3) : 4 + 99] - 100`
` = 2.[ 4 : 4 + 99] - 100`
` = 2.[ 1 + 99] - 100`
` = 2 . 100 - 100`
` = 200 - 100`
` = 100`
`d, 2^7 : 2^2 + 5^4 : 5^3 . 2^4 - 3 . 2^5`
` = 128 : 4 + 625 : 125 . 16 - 3 . 32`
` = 32 + 5 . 16 - 96`
` = 32 + 80 - 96`
` = 112 - 96`
` = 16`
\(a,2^3-5^3:5^2+12.2^2\)
\(=8-5^{3-2}+12.4\)
\(=8-5+48\)
\(=3+48\)
\(=51\)
\(b,5.\left[\left(85-35:7\right):8+90\right]-50\)
\(=5.\left[\left(85-5\right):8+90\right]-50\)
\(=5.\left[80:8+90\right]-50\)
\(=5.\left[10+90\right]-50\)
\(=5.100-50\)
\(=500-50\)
\(=495\)
\(c,2.\left[\left(7-3^3:3^2\right):2^2+99\right]-100\)
\(=2.\left[\left(7-3^{3-2}\right):4+99\right]-100\)
\(=2.\left[\left(7-3\right):4+99\right]-100\)
\(=2.\left[4:4+99\right]-100\)
\(=2.\left[1+99\right]-100\)
\(=2.100-100\)
\(=200-100\)
\(=100\)
\(d,2^7:2^2+5^4:5^3.2^4-3.2^5\)
\(=2^{7-2}+5^{4-3}.16-3.32\)
\(=2^5+5.16-96\)
\(=32+80-96\)
\(=112-96\)
\(=16\)
\(e,\left(3^5.3^7\right):3^{10}+5.2^4-7^3:7\)
\(=\left(3^{5+7}\right):3^{10}+5.16-7^{3-1}\)
\(=3^{12}:3^{10}+80-7^2\)
\(=3^{12-10}+80-49\)
\(=3^2+80-49\)
\(=9+80-49\)
\(=40\)
\(f,3^2.\left[\left(5^2-3\right):11\right]-2^4+2.10^3\)
\(=9.\left[\left(25-3\right):11\right]-16+2.1000\)
\(=9.\left[22:11\right]-16+2000\)
\(=9.2-16+2000\)
\(=18-16+2000\)
\(=2002\)
\(g,\left(6^{2007}-6^{2006}\right):6^{2006}\)
\(=\dfrac{6^{2007}-6^{2006}}{6^{2006}}\)
\(=\dfrac{6^{2006}.6-6^{2006}}{6^{2006}}\)
\(=\dfrac{6^{2006}.\left(6-1\right)}{6^{2006}}\)
\(=6-1\)
\(=5\)
`e, (3^5 . 3^7) : 3^10 + 5 . 2^4 - 7^3 : 7`
` = 3^12 : 3^10 + 5 . 16 - 7^2`
` = 9 + 80 - 49`
` = 89 - 49 = 40`
`f, 3^2 . [( 5^2 - 3) : 11] - 2^4 + 2 . 10^3`
` = 9 . [( 25 - 3) : 11] - 16 + 2 . 1000`
` = 9 . [ 22 : 11 ] - 16 + 2 . 1000`
` = 9 . 2 - 16 + 2 . 1000`
` = 18 - 16 + 2000`
` = 2 + 2000`
` = 2002`
\(h,\left(5^{2001}-5^{2000}\right):5^{2000}\)
\(=\dfrac{5^{2001}-5^{2000}}{5^{2000}}\)
\(=\dfrac{5^{2000}.5-5^{2000}}{5^{2000}}\)
\(=\dfrac{5^{2000}.\left(5-1\right)}{5^{2000}}\)
\(=5-1\)
\(=4\)
\(i,\left(7^{2005}+7^{2004}\right):7^{2004}\)
\(=\dfrac{7^{2005}+7^{2004}}{7^{2004}}\)
\(=\dfrac{7^{2004}.7+7^{2004}}{7^{2004}}\)
\(=\dfrac{7^{2004}.\left(7+1\right)}{7^{2004}}\)
\(=7+1\)
\(=8\)
\(j,\left(5^7+7^5\right).\left(6^8+8^6\right).\left(2^4-4^2\right)\)
\(=\left(5^7+7^5\right).\left(6^8+8^6\right).\left(16-16\right)\)
\(=\left(5^7+7^5\right).\left(6^8+8^6\right).0\)
\(=0\)
\(k,\left(7^5+7^9\right).\left(5^4+5^6\right).\left(3^3.3\right)-9^2\)
\(=\left(7^5+7^9\right).\left(5^4+5^6\right).\left(3^{3+1}\right)-\left(3^2\right)^2\)
\(=\left(7^5+7^9\right).\left(5^4+5^6\right).3^4-3^4\)
\(=\left(7^5+7^9\right).\left(5^4+5^6\right).3^{4-4}\)
\(=\left(7^5+7^9\right).\left(5^4+5^6\right).0\)
\(=0\)
\(l,\left[\left(5^2.2^3\right)-7^2.2:2\right].6-7.2^5\)
\(=\left[\left(25.8\right)-49.2:2\right].6-7.32\)
\(=\left[200-98:2\right].6-224\)
\(=\left[200-49\right].6-224\)
\(=151.6-224\)
\(=906-224\)
\(=682\)
