Thực hiện phép tính ( bằng cách hợp lí nếu có thể ) .
\(\frac{9^3.27^2}{81^3}\)
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81 : 3^2 + 5 x 3
= 81 : 9 + 5 x 3
= 9 + 5 x 3
= 9 + 15
= 24
81 : 3^2 + 5 x 3 = 3^4 : 3^2 + 5 x 3
= 3^2 + 15 = 9 + 15 = 24
= [ 60/90 - ( 12/15 + 10/15) ] : 6/5
= ( 2/3 - 22/15 ) x 5/6
= ( 10/15 - 22/15 ) x 5/6
= -12/15 x 5/6
= -60/90
= -2/3
( 15/10 x 4/9 - ( 4/5 + 2/3 )) : 6/5
( 15/10 x 4/9 - ( 12/15 + 10/15 )) : 6/5
(30/45 - 66/45 ) : 6/5
-12/15 : 6/5 ( đã rút gọn -36/45 = -12/15 )
-2/3
k mk na <3
a,4x52-81: 32
=4.25-81:9
=100-9
=91
b,33x22-33x19
=27.22-27.19
=27.(22-19)
=22.3
=66
dấu(.) thay cho dấu(x)
\(a,4\cdot5^2-81:3^2=4\cdot25-81:9=100-9=91\)
\(b,3^3\cdot22-3^3\cdot19=3^3\left(22-19\right)=3^3\cdot3=3^4\)
\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}=\dfrac{\left(2^4\right)^3.3^{10}+3.5.2^3.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{11}}\)
\(=\dfrac{2^{12}.3^{10}+3.5.2^3.2^9.3^9}{2^{12}.3^{12}+2^{11}.3^{11}}=\dfrac{2^{12}.3^{10}+5.2^{12}.3^{10}}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.\left(2.3+1\right)}\)\(=\dfrac{2^{12}.3^{10}.6}{2^{11}.3^{11}.7}=\dfrac{2.2}{7}=\dfrac{4}{7}\)
= 280 : [25 + ( 30 - 3 mũ 3 ) ]
= 280 : [ 25 + ( 30 - 27 ) ]
= 280 : ( 25 + 3 )
= 280 : 28
=10
= 35 . 67 - 167 . 35
= 35 . (67 - 167 )
= 35 . ( -100 )
= -3500
35.67+167.(-35)
=35.67+(-167).35
=35.[67+(-167)]
=35.100=3500
=3^6 .3^6 /3^12
=3^12/3^12=1
\(\frac{3^6.3^6}{\left(3.27\right)^3}\)
\(\frac{3^6.3^6}{3^3.3^9}\)
\(=\frac{3^{12}}{3^{12}}=1\)