a) \(\frac{125^{100}.2^{160}}{5^{289}.4^{80}}=\frac{\left(5^3\right)^{100}.2^{160}}{5^{289}.\left(2^2\right)^{80}}=\frac{5^{300}.2^{160}}{5^{289}.2^{160}}=5^{300-289}=5^{11}\)

b) \(\frac{9^8.8^8}{3^8.27^3.2^{24}}=\frac{\left(3^2\right)^8.\left(2^3\right)^8}{3^8.\left(3^3\right)^3.2^{24}}=\frac{3^{16}.2^{24}}{3^8.3^9.2^{24}}=\frac{3^{16}}{3^{17}}=\frac{1}{3}\)

a) \(\frac{125^{100}.2^{160}}{5^{289}.4^{80}}=\frac{\left(5^3\right)^{100}.2^{160}}{5^{289}.\left(2^2\right)^{80}}=\frac{5^{300}.2^{160}}{5^{289}.2^{160}}=5\)

b) \(\frac{9^8.8^8}{3^8.27^3.2^{24}}=\frac{\left(3^2\right)^8.\left(2^3\right)^8}{3^8.\left(3^3\right)^3.2^{24}}=\frac{3^{16}.2^{24}}{3^8.3^9.2^{24}}=\frac{3^{16}.2^{24}}{3^{17}.2^{24}}=\frac{1}{3}\)

A=125^100.2/5^289.480
A=(5^3)^100.2/5^289.2^5.3.5
A=5^300/5^300.2^4.3
A=1/48.
Vậy A=1/48.
Đúng thì k cảm ơn.

\(\left(125^{100}.2^{160}\right):\left(5^{289}.4^{80}\right)\)

\(\left(125^{100}.2^{160}\right):\left(5^{289}.4^{80}\right)\)\(=\frac{\left(5^3\right)^{100}.2^{100}}{5^{289}.\left(2^2\right)^{80}}\)\(=\frac{5^{300}.2^{100}}{5^{289}.2^{160}}\)\(=\frac{5^{11}}{2^{60}}\)

\(\left(9^8.5^8\right):\left(3^7.27^3.5^4\right)\)\(=\frac{\left(3^2\right)^8.5^8}{3^7.\left(3^3\right)^3.5^4}=\frac{3^{16}.5^4}{3^7.3^9}=\frac{3^{16}.5^4}{3^{16}}=5^4=625\)

\(\left(1024.27^8\right):\left(2^9.3^{23}\right)=\frac{2^{10}.\left(3^3\right)^8}{2^9.3^{23}}=\frac{2.3^{24}}{3^{23}}=2.3=6\)

\(\left(625.2^7+25^2.64\right):\left(2^6.5^4.3\right)=\frac{25^2.128+25^2.64}{2^6.\left(5^2\right)^2.3}=\frac{25^2.\left(128+64\right)}{64.25^2.3}=\frac{192}{192}=1\)

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

Mình lớp 4 mà bạn

Với lại là bằng :

6''675

7785.,77

664'87'9776''8

đăng ít thôi bạn đăng nhiều thế mới nhìn vào đã thấy chóng mặt huống chi là giải

2: \(=16\cdot38-16\cdot2-38\cdot16+38=-32+38=6\)

3: \(=6-7+4-3=10-10=0\)

4: \(=-125\left(26-36\right)=-125\cdot\left(-10\right)=1250\)

5: \(=5^3-5^3=0\)

6: \(=24\left(-125+225\right)=100\cdot24=2400\)

7: =21(135+65)-200

=200*21-200

=200*20=4000

8: =42+58-19+19=100