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15 tháng 4 2019

a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)

\(=\left(100+121+144\right)\div\left(169+196\right)\)

\(=365\div365\)

\(=1\)

b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)

\(=1.2.3...8\left(9-1-8\right)\)

\(=1.2.3...8.0\)

\(=0\)

15 tháng 4 2019

d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)

\(=1152-374-1152-65+374\)

\(=\left(1152-1152\right)-65+\left(374-374\right)\)

\(=0-65+0\)

\(=-65\)

e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)

\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)

\(=13-1+1+1-1-1+1\)

\(=13+0+0+0\)

\(=13\)

23 tháng 1 2017

a, 17 - 11 - 14 - (-39)

= 17 - 11 - 14 + 39

= 6 - 14 + 39

= -8 + 39

= 31

b, 211 + 4 [(-5) . 8 - 4]

= 211 + 4 [(-40) - 4]

= 211 + 4 . (-44)

= 211 + (-176)

= 35

c, (-2)^7 . (-2)^2 + 32

= (-2)^9 + 32

= (-512) + 32

= -480

d, -15 . 12 - 8 . (-12)

= -180 - (-96)

= -84

9 tháng 7 2016

\(\frac{45^7.9^3.27^{12}.12^8}{2^{26}.5^{14}.3^{16}.81^2}=\frac{\left(3^2\right)^7.5^7.\left(3^2\right)^3.\left(3^3\right)^{12}.\left(2^2\right)^8.3^8}{2^{26}.5^{14}.3^{16}.\left(3^4\right)^2}=\frac{3^{14}.5^7.3^6.3^{36}.2^{16}.3^8}{2^{26}.5^{14}.3^{16}.3^8}\)

\(=\frac{3^{64}.5^7.2^{16}}{2^{26}.5^{14}.3^{24}}=\frac{3^{40}.1.1}{2^{10}.5^7.1}=\frac{3^{40}}{2^{10}.5^7}\)

8 tháng 4 2019

\(A=\frac{9^{14}.25^5.8^7}{18^{12}.625^{324}.24^3}\)

\(A=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{2^{12}.9^{12}.\left(5^4\right)^{324}.3^3.8^3}\)

\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.\left(3^2\right)^{12}.5^{1296}.3^3.\left(2^3\right)^3}\)

\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{24}.5^{1296}.3^3.2^9}\)

\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{30}.3^{27}.5^{1296}}\)

\(A=\frac{3}{2^9.5^{1286}}\)

8 tháng 4 2019

CẢM ƠN BẠN NHÉ!

12 tháng 9 2021

\(16+\left(-6\right)+\left(-8\right)+7\)\(=16-6-8+7\)\(=\left(16-6\right)-\left(8-7\right)\)\(=10-1=9\)

\(\left(-8\right)-[\left(2015^0\right)-14+7]\)\(=-8-\left(1-14+7\right)\)\(=-8-\left(-6\right)=-2\)

\(\left(-31\right)-[82-\left(-17\right)]\)\(=-31-\left(82+17\right)\)\(=-31-99=-130\)

\(6\left(-2\right)^3+5\left(-4\right)-\left(-12\right)\)\(=6\left(-8\right)+\left(-20\right)+12\)\(=-48-20+12=-56\)

1 tháng 3 2018

\(b)\) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)

\(=\)\(1.2.3...8\left(9-1-8\right)\)

\(=\)\(1.2.3...8\left(9-9\right)\)

\(=\)\(1.2.3...8.0\)

\(=\)\(0\)