Tính nhanh :
\(18\times24+18\times128-36-36\times5-20\times9\)
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a) \(T=\frac{9^{14}\times25^6\times8^7}{18^{12}\times625^3\times24^3}\)
\(=\frac{\left(3^2\right)^{14}\times25^6\times\left(2^3\right)^7}{\left(2\times3^2\right)^{12}\times\left(25^2\right)^3\times\left(3\times2^3\right)^3}\)
\(=\frac{3^{28}\times25^6\times2^{21}}{2^{12}\times3^{24}\times25^6\times3^3\times2^9}\)
\(=\frac{3^{28}\times25^6\times2^{21}}{\left(2^{12}\times2^9\right)\times\left(3^{24}\times3^3\right)\times25^6}\)
\(=\frac{3^{28}\times25^6\times2^{21}}{2^{21}\times3^{27}\times25^6}=3\)
b) \(A=\frac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^9\times6^{19}-7\times2^{29}\times27^6}\)
\(=\frac{5\times\left(2^2\right)^{15}\times\left(3^2\right)^9-2^2\times3^{20}\times\left(2^3\right)^9}{5\times2^9\times\left(2\times3\right)^{19}-7\times2^{29}\times\left(3^3\right)^6}\)
\(=\frac{5\times2^{30}\times3^{18}-2^2\times3^{20}\times2^{27}}{5\times2^9\times2^{19}\times3^{19}-7\times2^{29}\times3^{18}}\)
\(=\frac{5\times2^{30}\times3^{18}-2^{29}\times3^{20}}{5\times2^{28}\times3^{19}-7\times2^{29}\times3^{18}}\)
\(=\frac{2^{29}\times3^{18}\times\left(5\times2-3^2\right)}{2^{28}\times3^{18}\times\left(5\times3-7\times2\right)}\)
\(=\frac{2\times\left(10-9\right)}{15-14}=\frac{2\times1}{1}=2\)
\(\left(-75\right)\left(18-65\right)-65\left(75-18\right)\)
\(=\left(-75\right).18-\left(-75\right).65-65.75+65.18\)
\(=\left(-75\right).18+75.65-65.75+65.18\)
\(=18.\left[\left(-75\right)+65\right]+\left(75.65-65.75\right)\)
\(=18.\left(-10\right)=-180\)
P/s: Hoq chắc
\(52\cdot18+9\cdot36+18\cdot36\)
\(=18\cdot\left(52+9\cdot2+36\right)\)
\(=18\cdot106=1908\)
a) =-(-2010)+(-2010)+36*54-36*(-59)=2010+(-2010)+ 36*(54-59)=0+36*5=.....
b
\(=82^2-2.18.82+18^2=\left(82-18\right)^2=64^2=...\)
Để xem, \(64^2=2^{12}=4096\)
\(36\cdot15+70\cdot18=36\cdot15+36\cdot35=36\cdot\left(15+35\right)=36\cdot50=1800\)
36 . 15 + 70 . 18
= 36 . 15 + 35 . 36
= 36 . 15 + 36 . 35
= 36 . (15 + 35)
= 36 . 50
= 1800
18 : 0,25 + 36 x 3
= 18 x 4 + 18 x 2 x 3
= 18 x 4 + 18 x 6
= 18 x ( 4 + 6 )
= 18 x 10
= 180
18*24+18*128-36-36*5-20*9
=18*24+18*128-18*2-18*2*5-2*10*9
=18*24+18*128-18*2-18*10-18*10
=18*(24+128-2-10-10)
=18*130
=2340
ns là lm v~