2 mũ 3 . 5 mũ 2
2^3 nhân 5^2 - [ 131 - ( 23 - 2^3 )^2 ]
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= 500 : { 23 + [ 32. 5 - 2 . ( 25 - 24) ] }
= 500 : { 23 + [ 32. 5 - 2 . 9 ] }
= 500 : { 23 + [ 9. 5 -2 . 9 ] }
= 500 : { 23 + 9. [ 5 - 2 ] }
= 500 : { 23 + 9. 3 }
= 500 : { 23 + 27 }
= 500 : 50
= 10
a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)
b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)
c) Đề hơi sai roi bạn oi
d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)
$\textbf{Ta có:}$
$A=\dfrac{-5^2-5\cdot3^2}{5^3+5^2\cdot3^2}$
$=\dfrac{-25-45}{125+225}$
$=\dfrac{-70}{350}$
$=-\dfrac15.$
Và
$B=\dfrac{2^{12}\cdot3^{10}+6^9\cdot120}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}$
$=\dfrac{2^{12}3^{10}+2^{12}3^{10}\cdot5}{2^{11}3^{11}(2\cdot3-1)}$
$=\dfrac{2^{12}3^{10}(1+5)}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^{12}3^{10}\cdot6}{2^{11}3^{11}\cdot5}$
$=\dfrac{2^2}{5}$
$=\dfrac45.$
=> $M=B-A$$=\dfrac45-\left(-\dfrac15\right)$
$=\dfrac55$$=1.$
500-{5.(409-(2³x3-21)²]-1724}
= 500-{5.(409-(8x3-21)²]-1724}
=500-{5.(409-(24-21)²]-1724}
=500-{5.(409-3²)-1724}
=500-{5.(409-9)-1724}
=500-{5.400-1724}
=500-{2000-1724}
=500-276
=224
Hok tốt!
23.52=2.2.2.5.5=(2.5).(2.5).2=10.10.2=200
23.52-[131-(23-23)2 ]=2.2.2.5.5-[131-(23-8)2 ]=(2.5).(2.5).2-(131-152 )=10.10.2.(-94)=-9400.2=-18800
Sửa lại câu 2.
23.52-[131-(23-23)2 ]
=200-(131-152)
=200-(-94)
=294