tính giá trị biểu thức nhanh nhất:
a) \(\frac{21^2.14.125}{35^3.6}\)
b) \(\frac{45^3...20^4.18^2}{180^5}\)
Tính giá trị biểu thức :
C = \(\frac{21^2.14.125}{35^3.6}\)
D = \(\frac{45^3.20^4.18^2}{180^5}\)
\(C=\frac{21^2.14.125}{35^3.6}\)
\(C=\frac{\left(3.7\right)^2.2.7.5^3}{\left(5.7\right)^3.2.3}\)
\(C=\frac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}\)
\(C=\frac{3^2.7^3.2.5^3}{5^3.7^3.2.3}=3\)
\(D=\frac{45^3.20^4.18^2}{180^5}\)
\(D=\frac{\left(5.3^2\right)^3.\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(D=\frac{5^3.3^6.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)
\(D=\frac{5^7.3^{10}.2^{10}}{2^{10}.3^{10}.5^5}=5^2=25\)
Tính giá trị của các biểu thức:
G=21^2.14.125/35^5.6
H= 45^3.20^4.18^2/180^5
HELP ME
G=(212.14.125):355.6
=\(\frac{\left(3.7\right)^2.7.2.5^{^3}}{\left(7.5\right)^5.2.3}\)=\(\frac{3^2.7^2.7.5^3}{7^5.5^5.3}\)=\(\frac{3}{7^2.5^2}\)=\(\frac{3}{49.25}\)=\(\frac{3}{1225}\)
\(G=\frac{21^2.14.125}{35^5.6}\)
\(G=\frac{\left(3.7\right)^2.7.2.5^3}{\left(7.5\right)^5.2.3}=\frac{3}{7^2.5^2}=\frac{3}{49.25}=\frac{3}{1225}\)
1)\(\frac{21^2.14.125}{35^2.6}\)
2)\(\frac{45^3.20^4.18^2}{180^5}\)
AI TRA LOI DUOC MK TICK CHO !!! CAM ON !!!
\(\frac{21^2\cdot14\cdot125}{35^2\cdot6}=\frac{3^2\cdot7^2\cdot2\cdot25\cdot3}{5^2\cdot7^2\cdot2\cdot3}=\frac{3^4\cdot7^2\cdot2\cdot5^2}{5^2\cdot7^2\cdot2\cdot3}=3^3=27..\)
\(\frac{45^3\cdot20^4\cdot18^2}{180^5}=\frac{5^3\cdot9^3\cdot4^4\cdot5^4\cdot2^2\cdot9^2}{2^{10}\cdot3^{10}\cdot5^5}=\frac{5^7\cdot9^5\cdot4^4}{4^5\cdot9^5\cdot5^5}=\frac{1}{4}=0.25\)
Cho mk hỏi thêm D=\(\dfrac{21^2.14.125}{35^3.6}\); E= \(\dfrac{45^3.20^4.18^2}{180^5}\)và F= \(\dfrac{2^{13}+2^5}{2^{10}+2^2}\)nhé. Cảm ơn mọi người rất nhiều. Tại mk học thêm mà mk thấy khó quá nên hỏi:))
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: \(F=\dfrac{2^{13}+2^5}{2^{10}+2^2}\)
\(=\dfrac{2^5\left(2^8+1\right)}{2^2\left(2^8+1\right)}=\dfrac{2^5}{2^2}=\dfrac{32}{4}=8\)
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!
Tính:
a)\(\frac{4^6.3^4.9^5}{6^{12}}\)
b)\(\frac{2^{13}+2^5}{2^{10}+2^2}\)
c)\(\frac{21^2.14.125}{35^3.6}\)
d)\(\frac{8^{10}+4^{10}}{4^{10}+2^{10}}\)
e)\(\frac{45^3.20^4.18^2}{180^5}\)
Gấp lắm ạ.
\(a\)
\(\frac{4096.81.59049}{2176782336}\)
\(b\)
\(\frac{2^{13+5}}{2^{10+2}}\)=\(\frac{2^{18}}{2^{12}}\)
tính giá trị biểu thức :
38 : 34 + 22 . 23 b 3 . 42 - 2 . 32
c \(\dfrac{4^6.3^4.9^5}{6^{12}}\) d \(\dfrac{21^2.14.125}{35^3.6}\) e \(\dfrac{45^3.20^4.18^2}{180^5}\)
g \(\dfrac{2^{13}+2^5}{2^{10}+2^2}\)
Viết cách làm ra hộ mk nha. Bạn nào nhanh mk tick cho
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, =\(\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=\dfrac{2^5}{2^2}=2^3=8\)
a) 38 : 34 + 22 . 23 b) 3.42-2.32 c) \(\frac{4^6.3^4.9^5}{6^{12}}\) d) \(\frac{21^2.14.125}{35^3.6}\) e) \(\frac{45^3.20^4.18^2}{180^5}\)g) \(\frac{2^{13}+2^5}{2^{10}+2^2}\)
Các bạn trình bày cách làm luôn nha. MK trân thành cản ơn
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 !!!!
Tính giá trị của các biểu thức :
a , A = \(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
b , B = \(\frac{4^9.36+64^4}{16^4.100}\)
c , C = \(\frac{72^3.54^2}{108^4}\)
d , D = \(\frac{4^6.3^4.9^5}{6^{12}}\)
e , E = \(\frac{2^{13}+2^5}{2^{10}+2^2}\)
f , F = \(\frac{21^2.14.125}{35^5.6}\)
g , G = \(\frac{45^3.20^4.18^2}{180^5}\)
h , H = \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
mấy bn lm giúp mk nha , mk tk cho 3 tk
rút gọn phân số
a)\(\dfrac{4^6.3^4.9^5}{6^{12}}\)
b)\(\dfrac{21^2.14.125}{35^2.6}\)
c)\(\dfrac{45^3.20^4.18^2}{180^5}\)
d)\(\dfrac{2^{13}+2^5}{2^{10}+2^2}\)
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: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)