Tìm giá trị biểu thức:
a) A=\(\dfrac{45^3.20^4.18^2}{180^5}\)
b) B=\(\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
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rút gọn
A = 72^3.5^42/108^4
B= 45^3.20^4.18^2/180^5
C= 11.3^22.3^7-9^15/(2.3^14)^2
A = \(\dfrac{72^3.5^{42}}{108^4}\)
= \(\dfrac{\left(2^3.3^2\right)^3.5^{42}}{\left(2^2.3^3\right)^4}\)
= \(\dfrac{2^9.3^6.5^{42}}{2^8.3^{12}}\)
= \(\dfrac{2.5^{42}}{3^6}\)
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B = \(\dfrac{45^3.20^4.18^2}{180^5}\)
= \(\dfrac{\left(3^2.5\right)^3\left(2^2.5\right)^4.\left(2.3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
= \(\dfrac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)
= \(\dfrac{3^{10}.5^7.2^{10}}{2^{10}.3^{10}.5^5}\)
= 25
@trần phúc nguyên
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C = \(\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
= \(\dfrac{11.3^{29}-\left(3^2\right)^{15}}{2^2.3^{28}}\)
= \(\dfrac{11.3^{29}-3^{30}}{2^2.3^{28}}\)
= \(\dfrac{3^{29}\left(11-3\right)}{2^2.3^{28}}\)
= \(\dfrac{33-9}{4}\)
= 6
@trần phúc nguyên
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Tính :
A = \(\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
A=\(\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=\dfrac{11.3^{29}-3^{29}.3}{2^2.3^{28}}=\dfrac{3^{29}.\left(11-3\right)}{2^2.3^{28}}=\dfrac{3^{29}.2^3}{2^2.3^{28}}=3.2=6\)
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\(A=\dfrac{11\cdot3^{22}\cdot3^7-9^{15}}{\left(2\cdot3^{14}\right)^2}=\dfrac{11\cdot3^{29}-3^{30}}{2^2\cdot3^{28}}\)
\(=\dfrac{3^{29}\cdot2^3}{3^{28}\cdot2^2}=3\cdot2=6\)
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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 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}
Đọc tiếp
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
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tính
a) \(A=\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
b) \(B=\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
a) \(A=\dfrac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
\(A=\dfrac{11.3^{29}-3^{30}}{2^2.3^{28}}\)
\(A=\dfrac{11.3^{29}-3^{29}.3}{2^2.3^{28}}\)
\(A=\dfrac{3^{29}.\left(11-3\right)}{2^2.3^{28}}\)
\(A=\dfrac{3^{29}.8}{2^2.3^{28}}\)
\(A=\dfrac{3.8}{4}=6\)
vậy \(A=6\)
b) \(B=\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(B=\dfrac{3^2.\left(2^2\right)^2.\left(2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}-\left(2^4\right)^9}\)
\(B=\dfrac{3^2.2^4.2^{32}}{11.2^{13}.2^{22}-2^{36}}\)
\(B=\dfrac{3^2.2^{36}}{11.2^{35}-2^{35}.2}\)
\(B=\dfrac{3^2.2^{36}}{2^{35}.\left(11-2\right)}\)
\(B=\dfrac{3^2.2^{36}}{2^{35}.9}\)
\(B=\dfrac{3^2.2}{9}\)
\(B=\dfrac{9.2}{9}\)
\(B=2\)
vậy \(B=2\)
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a, frac{45^3.20^4.18^2}{180^5} b, frac{11.3^{22}.3^7-9^{15}}{left(2.3^{14}right)^2} c, left(125^3.7^5-175^5:5right):2016^{2017} d, 16.64.8^2:left(4^3.2^5.16right) e,frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^9.27^6} Đề bài: Tính bằng cách hợp lí.
Đọc tiếp
a, \(\frac{45^3.20^4.18^2}{180^5}\)
b, \(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
c, \(\left(125^3.7^5-175^5:5\right):2016^{2017}\)
d, \(16.64.8^2:\left(4^3.2^5.16\right)\)
e,\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^9.27^6}\)
Đề bài: Tính bằng cách hợp lí.
\(\frac{45^3.20^4.18^2}{180^5}=\frac{\left(3^2.5\right)^3.\left(2^2x5\right)^4.\left(2x3^2\right)^2}{\left(2^2.3^2.5\right)^5}\)
\(=\frac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}\)\(=\frac{3^{10}.5^7.2^{10}}{2^{10}.3^{10}.5^5}=\frac{5^7}{5^5}=5^2\)
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tính giá trị của biểu thức
A=\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
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 của biểu thức: \(A=\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
\(a=\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=\frac{11.3^{29}-\left(3^2\right)^{15}}{\left(2^2.3^{28}\right)}=\frac{11.3^{29}-3.^{30}}{2^2.328}\)
\(=\frac{3^{28}\left(11.3-3^2\right)}{2^2.3^{28}}=\frac{33-9}{4}=6\)
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