a: \(=\dfrac{2^{12}\cdot3^{14}}{3^{12}\cdot2^{12}}=3^2=9\)

b: \(=\dfrac{7^3\cdot2\cdot5^3}{5^2\cdot7^2\cdot6}=7\cdot5\cdot\dfrac{1}{3}=\dfrac{35}{3}\)

d: =2^5(2^8+1)/2^2(2^8+1)=2^3=8

c: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)

a/ 113

b/  30

c/  9

d/  3

e/   25

g/   8

a)3⁸:3^4+2^2.2^3=3^8-4+2^2+3=3^4+2^5=81+32=113

b)3.4^2-2.3^2=3(4^2-2.3)=3(16-6)=3.10=30

c)4^6.3^4.9^5/6^12=(2^2)^6.3^4.(3^2)^5/(2.3)^12=2^12.3^4.3^10/2^12.3^12=2^12.3^14/2^12.3^12=3^14/3^12=3^2=9

e)45^3.20^4.18^2/180^5=(5.3^2)^3.(2^2.5)^4.(2.3^2)^2/(2^2.3^2.5)^5=5^3.3^6.2^8.5^4.2^2.3^4/2^10.3^10.5^5=5^9.3^10.2^10/2^10.3^10.5^5

                                 =5^4/1=5^4=625

d)21^2.14.125/35^3.6=(2.7)^2.2.7.5^3/(5.7)^3.2.3=2^2.7^2.2.7.5^3/5^3.7^3.2.3=2^3.7^3.5^3/5^3.7^3.2.3=2^3/2.3=8/6=4/3

g)2^13+2^5/2^10+2^2=2^5(2^8+1)/2^2(2^8+1)=2^5/2^2=32/4=8

Chúc bạn học tốt !!!!

mấy bn lm giúp mk nha , mk tk cho 3 tk 

Giải: (^ là mũ)

a) 3^8 : 3^4 + 2^2 . 2^3

= 6561 : 81 + 4 . 8

= 81 + 32

= 113

Mấy câu sau bn làm tương tự nhé!

b: \(=2^{12}\cdot3^4\cdot\dfrac{3^{10}}{3^{12}\cdot2^{12}}=3^2=9\)

c: \(=\dfrac{7^2\cdot3^2\cdot7\cdot2\cdot5^3}{5^3\cdot7^3\cdot2\cdot3}=\dfrac{3^2}{3}=3\)

d: \(=\dfrac{5^3\cdot3^6\cdot5^4\cdot2^8\cdot3^{16}\cdot2^2}{\left(2^2\cdot3^2\cdot5\right)^5}=\dfrac{5^{10}\cdot3^{22}\cdot2^{10}}{2^{10}\cdot3^{10}\cdot5^5}=3^{12}\cdot5^5\)

B=\(\frac{2^2.14.125}{35^3.6}\)

B=\(\frac{2^2.2.7.5^3}{5^3.7^3.2.3}\)

B=\(\frac{2^3.7.5^3}{5^3.7^3.2.3}\)

B=\(\frac{2^2}{7^2.3}\)

=\(\frac{4}{49.3}\)=\(\frac{4}{147}\)

a, =\(3^4+2^5=81+32=113\)

b, =\(3.\left(4^2-2.3\right)=3.\left(16-6\right)=3.10=30\)

c, =\(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)

d, =\(\dfrac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}=3\)

e, =\(\dfrac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}=\dfrac{3^{10}.2^{10}.5^7}{2^{10}.3^{10}.5^5}=5^2=25\)

g, =\(\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=\dfrac{2^5}{2^2}=2^3=8\)

d) Ta có: \(D=\dfrac{21^2\cdot14\cdot125}{35^3\cdot6}\)

\(=\dfrac{7^2\cdot3^2\cdot7\cdot2\cdot5^3}{5^3\cdot7^3\cdot6}\)

\(=\dfrac{3^2\cdot2}{6}=\dfrac{6\cdot3}{6}=3\)

e) Ta có: \(E=\dfrac{45^3\cdot20^4\cdot18^2}{180^5}\)

\(=\dfrac{3^6\cdot5^3\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}\)

\(=\dfrac{3^{10}\cdot5^7\cdot2^{10}}{2^{10}\cdot3^{10}\cdot5^5}=25\)

f) Ta có: \(F=\dfrac{2^{13}+2^5}{2^{10}+2^2}\)

\(=\dfrac{2^5\left(2^8+1\right)}{2^2\left(2^8+1\right)}=\dfrac{2^5}{2^2}=\dfrac{32}{4}=8\)

c

Giải:

\(D=\dfrac{21^2.14.125}{35^3.6}\) 

\(D=\dfrac{\left(3.7\right)^2.\left(2.7\right).5^3}{\left(5.7\right)^3.\left(2.3\right)}\) 

\(D=\dfrac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\) 

\(D=\dfrac{3^2.7^3.2.5^3}{5^3.7^3.2.3}\) 

\(D=3\) 

\(E=\dfrac{45^3.20^4.18^2}{180^5}\) 

\(E=\dfrac{\left(3^2.5\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\) 

\(E=\dfrac{\left(3^2\right)^3.5^3.\left(2^2\right)^4.5^4.2^2.\left(3^2\right)^2}{\left(2^2\right)^5.\left(3^2\right)^5.5^5}\) 

\(E=\dfrac{3^6.5^7.2^8.2^2.3^4}{2^{10}.3^{10}.5^5}\) 

\(E=\dfrac{3^{10}.5^7.2^{10}}{2^{10}.3^{10}.5^5}\) 

\(E=5^2=25\) 

\(F=\dfrac{2^{13}+2^5}{2^{10}+2^2}\) 

\(F=\dfrac{2^2.2^3.2^8+2^2.2^3}{2^2.2^8+2^2}\) 

\(F=\dfrac{2^2.2^3\left(2^8+1\right)}{2^2.\left(2^8+1\right)}\) 

\(F=2^3=8\) 

Bài này lúc đầu mk cx ko thành thạo về bài này nên mk thấy khó nhưng sau đó mk luyện bài này nên đã lm quên vs bài này rồi!

Mk gợi ý lm bài này nha:

Nếu là nhân hay chia mk phải phân tích ra thừa số 

Nếu là cộng hay trừ mk phải tách ra sao cho nó có thể tính nhanh

Đấy là cách lm của mk!