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\(\frac{5.2^{30}.3^{18}-4.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{5.2^{28}.2^2.3^{18}-4.3^{18}.3^2.2^{27}}{5.2^{28}.3^{18}.3-7.2^{27}.2^2.3^{18}}\)
\(=\frac{3^{18}.\left(5.2^{28}.4-4.9.2^{27}\right)}{3^{18}.\left(5.3.2^{28}-7.2^{27}.4\right)}\)
\(=\frac{20.2^{28}-9.2.2.2^{27}}{15.2^{28}-14.2.2^{27}}\)
\(=\frac{2^{28}.20-18.2^{28}}{15.2^{28}-14.2^{28}}\)
\(=\frac{2^{28}.\left(20-18\right)}{2^{28}.\left(15-14\right)}\)
\(=\frac{2^{28}.2}{2^{28}1}\)
\(=2\)
536x27-(825+219):18+153:152-42x3
=536x27-(825+219):18+151-16x3
=536x27-1044:18+15-16x3
=14472-58+15-48
=14414+15-48
=14429-48
=14381
tính nhanh
a, (756 - 217) - ( 183 -44)
\(=756-217-183+44\)
\(=\left(756+44\right)+\left(-217-183\right)\)
\(=800-400\)
\(=400\)
b, 11-12+13-14+15-16+17-18+19-20
\(=\left(11+19\right)-\left(12+18\right)+\left(13+17\right)-\left(14+16\right)+\left(15-20\right)\)
\(=30-30+30-30-5\)
\(=-5\)
a) \(\left(756-217\right)-\left(183-44\right)\)
= \(756-217-183+44\)
= \(\left(756+44\right)+\left(-217-183\right)\)
= \(800+\left(-400\right)\)
= \(400\)
1) $(-81)\cdot27-3^4\cdot(-77)$
$=(-81)\cdot27-81\cdot(-77)$
$=-81\cdot[27+(-77)]$
$=-81\cdot(27-77)$
$=-81\cdot(-50)$
$=81\cdot50$
$=4050$
2) $(-16)\cdot32-(-4)^2\cdot18$
$=(-16)\cdot32-16\cdot18$
$=-16\cdot(32+18)$
$=-16\cdot50$
$=-800$
3) $(-2)^4\cdot289-16\cdot189$
$=16\cdot289+16\cdot(-189)$
$=16\cdot[289+(-189)]$
$=16\cdot(289-189)$
$=16\cdot100$
$=1600$
4) $41\cdot(-18)+41\cdot(-81)-41$
$=1\cdot(-18)+41\cdot(-81)+41\cdot(-1)$
$=41\cdot[(-18)+(-81)+(-1)]$
$=41\cdot(-18-81-1)$
$=41\cdot(-99-1)$
$=41\cdot(-100)$
$=-4100$
5) $17\cdot(-37)-23\cdot37-46\cdot(-37)$
$=17\cdot(-37)+23\cdot(-37)-46\cdot(-37)$
$=-37\cdot(17+23-46)$
$=-37\cdot(40-46)$
$=-37\cdot(-6)$
$=37\cdot6$
$=222$
6) $-48+48\cdot(-78)+48\cdot(-21)$
$=48\cdot(-1)+48\cdot(-78)+48\cdot(-21)$
$=48\cdot[(-1)+(-78)+(-21)]$
$=48\cdot(-1-78-21)$
$=48\cdot(-79-21)$
$=48\cdot(-100)$
$=-4800$
7) $29\cdot(-13)+27\cdot(-29)+(-14)\cdot(-29)$
$=-29\cdot13+27\cdot(-29)+(-14)\cdot(-29)$
$=-29\cdot[13+27+(-14)]$
$=-29\cdot(40-14)$
$=-29\cdot26$
$=-754$
$\text{#}Toru$
b) = 27.(58+42)
= 27.100=2700
d) =18.(68+39-7)
=18.100=1800
183 - x3 .18 = 39
x3 .18 = 183 - 39
x3 .18 = 144
x3 = 144 : 18
x3 = 8
x3 = 23
x = 2