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a, 4^10.8^15 = 2^20.2^45 = 2^65
b, 2^3 - 5^3 : 5^2 + 12.2^2 = 8 - 5 + 12. 4 = 3+48 = 51
c, 27^16 . 9^10 = 3^48 . 3^30 = 3^78
d, 5.[(85 - 35 : 7 ) : 8 +90 ] = 5. ( 80 : 8 +90 ) = 5 . 100 = 500
a, (20.2^4+12.2^4-48.2^2):8^2
=(20.2^4+12.2^4-12.2^2.2^2):8^2
=(20.2^4+12.2^4-12.2^4):2^6
=2^4.(20+12-12):2^6
=2^4.20:2^6
=2^4.2^2.5:2^6
=5
b,
=5^4.(75+175):15625
=5^4.250:15625
=156250:15625
=10
c, Thì chắc bạn chép sai đề bài rồi,đề bài của mình thế này cơ:
16 x 64 x 82 : ( 43 x 25 x 16 )
=2^4.2^6.2^6:(2^6.2^5.2^4)
=2^18:2^5
=2^13
K MÌNH NHA
a. \(\left(20.2^4+12.2^4-48.2^2\right):8^2\)
= \(\left[2^4.\left(20+12\right)-48.4\right]:64\)
= \(\left[16.32-192\right]:64\)
= \(\left[512-192\right]:64\)
= \(320:64\)
= \(5\)
b. \(\left(75.5^2+175.54\right):\left(20.125-625.75\right)\)
= \(\left(75.25+175.54\right):\left(20.125-625.75\right)\)
= \(\left(1875+9450\right):\left(2500-46875\right)\)
= \(11325:\left(-44375\right)\)
= \(\dfrac{-453}{1775}\)
c. \(\left[6.64.8^2:\left(4^3-2^5.16\right)\right]\)
= \(\left[6.64.64:\left(64-32.16\right)\right]\)
= \(\left[24576:\left(64-512\right)\right]\)
= \(\left[24576:\left(-448\right)\right]\)
= \(\dfrac{-387}{7}\)
\(\left(20.2^4+12.2^4-48.2^2\right):8^2=\left(20.2^4+12.2^4-12.2^2.2^2\right):8\)
\(=\left(20.2^4+12.2^4-12.2^4\right):2^6=2^4.\left(20+12-12\right):2^6\)
\(=2^4.20:2^6=2^4.2^2.5:2^6=2^6.5:2^6=5\)
(20.24+12.24_48.22)÷82
=(20.16+12.16-48.4)÷64
={[16.(20+12)]-48.4}÷64
=(16.32-48.4)÷64
=(512-192)÷64=320÷64=5
(20.24+12.24_48.22)÷82
= (20.16 + 12.16-48.4):82
= 156: 82
=156:64
=2,4375
a) 21.(-35)-3.(-25).7=21.(-35)-(21.(-25)=21(-35+25)=21.(-10)=-210
b)77-11(30+7)=77-11.7+11.30=77-77-330=-330
c)85(35-27)-35(85-27)=85.35-85.27-35.85+35.27=(85.35-35.85)+(35.27-85.27)=35.27-85.27=27(35-85)=27.(-50)=-1350
d)(-25).68+(-34).(-250)=-25.68+34.2.125=-25.68+68.125=68(125-25)=68.100=6800
e)125.(-61).(-2^3).(-1)^2n+1=125.(-61).(-8).(-1)=(-8.125).61=-1000.61=-61000
h) đặt S=2100-299-298-...-22-2-1=2^100-(2^99+2^98+2^97+...+2+1)=2^100-A
ta có: A=2^99+2^98+2^97+...+2+1
2A=2^100+2^99+2^98+...+2^2+2
=>2A-A=(2^100+2^99+2^98+...+2^2+2)-(2^99+2^98+2^98+...+2+1)
=>A=2^100-1
=>S=2^100-(2^100-1)=2^100-2^100+1=1
A=2^100
a là bằng -210
ý b bằng -330
ý c bằng -1350
ý d bằng 6800
ý f bằng 225
tớ làm được 5 ý , tich nha bạn
a.
\(\left[3\times\left(-2\right)-\left(-8\right)\right]\times\left(-7\right)-\left(-2\right)\times\left(-5\right)=\left(-6+8\right)\times\left(-7\right)-10=2\times\left(-7\right)-10=-14-10=-24\)
b.
\(85\times\left(35-27\right)-35\times\left(85-27\right)=85\times35-85\times27-35\times85+35\times27=\left(85\times35-35\times85\right)-27\times\left(85-35\right)=-27\times50=-1350\)
c.
\(\left(20\times2^4-12\times2^3-48\times2^2\right)^2\div\left(-8\right)^2=\left(\frac{5\times4\times2^4-3\times4\times2^3-3\times16\times2^2}{-8}\right)^2=\left(\frac{5\times2^2\times2^4-3\times2^2\times2^3-3\times2^4\times2^2}{\left(-2\right)^3}\right)^2\)\(=\left(\frac{2^5\times\left(5\times2-3-3\times2\right)}{-\left(2^3\right)}\right)^2=\left(-2^2\right)^2=16\)
4³-7³:7²+20.2²