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27 tháng 6 2017

\(a,56-36:\left(-9\right)+3.\left(-2\right)^2\)

\(=56+4+12=72\)

\(b,36-16\left[2\left(14-15\right)^{21}\right]+14\)

\(=36-12\left[2-\left(-1\right)^{21}\right]+14\)

\(=36-16\left(2+1\right)+14\)

\(=36-48+14=2\)

\(c,2\left(-3\right)^2-3\left(-2\right)^3.\left(-2\right)^3+8\)

\(=2.9-3.8.8+8=218\)

\(d,\left(-8\right)25\left(-2\right)4\left(-5\right)125=\left(-8\right)125\left(-2\right)\left(-5\right)25.4=-1000.10.100=-1000000\)

27 tháng 6 2017

\(56-36:\left(-9\right)+3.\left(-2\right)^2\)

\(=56+4+3.4\)

\(=60+12=72\)

\(36-16.\left|2-\left(14-15\right)^{21}\right|+14\)

\(=36-16.\left(2+1\right)+14\)

\(=36-48+14=2\)

\(2.\left(-3\right)^2-3.\left(-2\right)^3.\left(-2\right)^3+8\)

\(=2.9-3.8.8+8\)

\(=18-192+8=-166\)

\(\left(-8\right).25.\left(-2\right).4.\left(-5\right).125\)

\(=\left[\left(-8\right).125\right].\left(25.4\right).\left[\left(-5\right).\left(-2\right)\right]\)

\(=\left(-1000\right).100.\left(-10\right)=1000000\)

14 tháng 10 2018

\(\frac{21^2.14.125}{35^3.6}\)

\(=\frac{7^2.3^2.2.7.5^3}{7^3.5^3.2.3}\)

\(=\frac{7^3.3^2.2.5^3}{7^3.5^3.2.3}\)

\(=3\)

14 tháng 10 2018

Bo may la binh day k di hieu ashdbfgbgygygggydfsghuyfhdguuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu3

29 tháng 9 2019

\(\frac{21^2\cdot14\cdot125}{35^3\cdot6}\)

\(=\frac{\left(7\cdot3\right)^2\cdot2\cdot7\cdot5^3}{\left(7\cdot5\right)^2\cdot2\cdot3}\)

\(=\frac{7^2\cdot3^2\cdot2\cdot7\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)

\(=\frac{7^3\cdot3^2\cdot2\cdot5^3}{7^2\cdot5^2\cdot2\cdot3}\)

Rút gọn nhé

\(=7\cdot3\cdot5\)

\(=105\)

\(\frac{21^2.14.125}{35^3.6}=\frac{\left(7.3\right)^2.7.2.5^3}{\left(7.5\right)^3.2.3}=\frac{7^3.3^2.2.5^3}{7^3.3.2.5^3}=3\)

28 tháng 7 2019

a, 815 . 274 = ( 34 )5 . ( 33 )4 = 320 . 312 = 332  

b, 6253 : 1252 = ( 54 )3 : ( 53 )2 = 512 : 56 = 56  

c, 1824 . 336 = ( 2 . 32 )24 . 336 = 224 . 348 . 336 =  224 . 384

d, 1021 : 514 = ( 2 . 5 )21 : 514 = 221 . 521 : 514 = 221 . 57

28 tháng 9 2020

a) Ta có : \(16^{19}=\left(2^4\right)^{19}=2^{76}\)

                    \(8^{15}=\left(2^3\right)^{15}=2^{45}\)

mà \(76>45\)

\(\Rightarrow2^{76}>2^{45}\)

hay \(16^{19}>8^{15}\)

b) Ta có : \(625^2=\left(5^4\right)^2=5^8\)

                 \(125^6=\left(5^3\right)^6=5^{18}\)

mà \(8< 18\)

\(\Rightarrow5^8< 5^{18}\)

hay \(625^2< 125^6\)

c) Ta có : \(3^{14}< 3^{21}< 4^{21}\)

\(\Rightarrow3^{14}< 4^{21}\)

d) Ta có : \(729^3=\left(3^6\right)^3=3^{18}\)

                   \(9^{21}=\left(3^2\right)^{21}=3^{42}\)

mà \(18< 42\)

\(\Rightarrow3^{18}< 3^{42}\)

hay \(729^3< 9^{21}\)

29 tháng 12 2015

212  x 14 x 125 = 771750

35x 6 = 315131250