Tính giá trị của biểu thức:
1) A =\(\frac{72^3.54^2}{108^4}\)
2) \(\frac{4^6.3^4.9^5}{6^{12}}\)
3) \(\frac{2^{13}+2^5}{2^{10}+2^2}\)
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
tính giá trị biểu thức :
a)\(\frac{6^{10}.27^5}{4^5.81^6}\)
b) \(\frac{72^3.54^2}{108^4}\)
c)\(\frac{27^4.2^3-3^{10}.4^3}{6^4.9^34}\)
a) \(\frac{6^{10}.27^5}{4^5.81^6}=\frac{\left(2.3\right)^{10}.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^6}=\frac{2^{10}.3^{10}.3^{15}}{2^{10}.3^{24}}=\frac{2^{10}.3^{25}}{2^{10}.3^{24}}=\frac{3^{25}}{3^{24}}=3\)
b) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^{11}}{2^8}=2^3=8\)
c) \(\frac{27^4.2^3-3^{10}.4^3}{6^4.9^3.4}=\frac{\left(3^3\right)^4.2^3-3^{10}.\left(2^2\right)^3}{\left(2.3\right)^4.\left(3^2\right)^3.2^2}=\frac{3^{12}.2^3-3^{10}.2^6}{2^4.3^4.3^6.2^2}\)
= \(\frac{3^{12}.2^3-3^{10}.2^6}{2^6.3^{10}}=\frac{3^{12}.2^3}{2^6.3^{10}}-\frac{3^{10}.2^6}{2^6.3^{10}}=\frac{3^2}{2^3}-1=\frac{9}{8}-1=\frac{1}{8}\)
Tính giá trị các biểu thức
a)A = \(\frac{72^3.54^2}{108^4}\) b) B = \(\frac{3^{12}.13+3^{12}.3}{3^{11}.2^4}\) c) C = \(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
Tính giá trị các biểu thức
A=\(\frac{3^{10\ \ }.11+3^{10\ \ }.5}{3^{9\ }.2^{^4}\ }\)
B= \(\frac{2^{10}.13+2^{10\ }.65}{2^8.104}\)
C=\(\frac{72^3.54^2}{108^4}\)
D=\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
giúp mk với mk cần gấp:
bài1:tính giá trị biểu thức:
a) A= 2^10.13+2^10.65/2^8.104
b) B= 4^9.36+64^4/16^4.100
c) C= 72^3.54^2/108^4
d) D= 4^6.3^4.9^5/6^12
e) E= 2^13+2^5/2^10+2^2
f) F= 21^2.14.125/35^5.6
g) G= 45^3.20^4.18^2/180^5
h) H= 11.3^22.3^7-9^15/(2.3^14)^2
Tính giá trị các biểu thức sau
d) \(\frac{72^3.54^2}{108^4}\)
e) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
Bài giải
\(d,\text{ }\frac{72^3\cdot54^2}{108^4}=\frac{3^6\cdot2^9\cdot3^6\cdot2^2}{3^{12}\cdot2^8}=2^3=9\)
\(e,\text{ }\frac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\frac{3^{10}\left(11+5\right)}{3^9\cdot2^4}=\frac{3\cdot16}{2^4}=\frac{3\cdot2^4}{2^4}=3\)
Bài3Tính giá trị biểu thức
a) A=\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
b) B=\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)
c) C=\(\frac{72^3.54^2}{108^4}\)
d) D=\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
A= 3^10.( 11+5 ) / 3^9. 2^4
A= 3^10. 16 /3 ^9 . 16
A= 3^10/3^9= 3
B= 2^10. ( 13 +65) / 2^8.104
B= 2^10. 78/ 2^8.104
B= 2 ^10.2.39/ 2^8 .2.52
B= 2^11.39/ 2^9.52
B= 2 ^ 2. (39/ 52)
B= 4 . 39/52 = 3
C= (2^3.3^2)^3.( 2.3.3^2 )^2 / (2^2.3^3)^4
C= 2^9.3^6/ 2^2.3^2.3^4
C= 2^9.3^6/ 2^2.3^6
C= 2^9/2^2= 2^5=32
D= 11.3^29-3^30/ 2^2.3^28
D= 3^29.(1- 3)/ 2^2.3^28
D= 3^29.(-2)/ 2^2.3^28
D= 3. (-2/2^2)
D = 3. (-1/2)= -3/2
a, B=\(\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\) b, C=\(\dfrac{4^9.36+64^9}{16^4.100}\)
c, D=\(\dfrac{72^3.54^2}{108^4}\) d, E=\(\dfrac{4^6.3^4.9^5}{6^{12}}\)
a, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)
\(=\dfrac{2^{10}.\left(13+65\right)}{2^8.2^3.13}\)
\(=\dfrac{2^{10}.78}{2^{11}.13}\)\(=\dfrac{1.6}{2.1}=\dfrac{1.3}{1.1}=3\)
b: \(=\dfrac{2^{20}\cdot3^2+2^{54}}{2^{18}\cdot5^2}=\dfrac{2^{20}\left(3^2+2^{32}\right)}{2^{18}\cdot5^2}=\dfrac{2^2\left(3^2+2^{32}\right)}{25}\)
c: \(=\dfrac{2^9\cdot3^6\cdot3^6\cdot2^2}{2^8\cdot3^{12}}=\dfrac{2^{11}}{2^8}=8\)
d: \(=\dfrac{2^{12}\cdot3^4\cdot3^{10}}{2^{12}\cdot3^{12}}=9\)
a) A= 2^10.13+2^10.65/2^8.104
b) B= 4^9.36+64^4/16^4.100
c) C= 72^3.54^2/108^4
d) D= 4^6.3^4.9^5/6^12
e) E= 2^13+2^5/2^10+2^2
f) F= 21^2.14.125/35^5.6
g) G= 45^3.20^4.18^2/180^5
h) H= 11.3^22.3^7-9^15/(2.3^14)^2