452 .38.105/55.37.185
45.94+2.69/210.38+68.20
15.311+4.274
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\(\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}=\dfrac{2^{10}\cdot3^8-2\cdot2^9\cdot3^8\cdot3}{2^{10}\cdot3^8+2^8\cdot3^8\cdot2^2\cdot5}=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+2^{10}\cdot3^8\cdot5}\)
\(=\dfrac{2^{10}\cdot3^8\left(1+3\right)}{2^{10}\cdot3^8\left(1+5\right)}=\dfrac{4}{6}=\dfrac{2}{3}\)
Có \(\frac{15.3^{11}+4.274}{9^7}=\frac{5.3.3^{11}+1096}{\left(3^2\right)^7}=\frac{5.3^{12}+1096}{3^{14}}=\frac{5.1+1096}{3^2}=\frac{5+1096}{9}=\frac{1101}{9}\)
a) 896 × 23 = 896 × (20 + 3)
= 896 × 20 + 896 × 3
= 17920 + 2688
= 20608
896 × 23 = 896 × (24 – 1 )
= 896 × 24 – 896 × 1
= 211504 – 896
= 20608
b) 547 × 38 = 547 × (30 + 8)
= 547 × 30 + 547 × 8
= 20786
547 × 38 = 547 × (39 – 1)
= 547 × 39 - 547 × 1
= 21333 – 547
= 20786
\(452-\left(67-75+452\right)\\ =452-67+75-452\\ =\left(452-452\right)-67+75\\ =-67+75\\ =8\)
- 452 - ( - 67 + 75 - 452 )
= - 452 + 67 - 75 + 452
= [(- 452 ) + 452 ] + ( 67 - 75 )
= 0 + ( - 8 )
= - 8