Tính
\(\frac{2^6.2^8+2^7.2^9}{2^5.2^7+2^5.2^7}-\frac{2^0+2.3^3}{3^0+8^2}\)
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Tính giá trị biểu thức sau:1/ frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}.2/ frac{5.left(2^2.3^2right)^9.left(2^2right)^6-2.left(2^2.3right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}3/ frac{2^{12}.13+2^{12}.65}{2^{10}.104}+frac{3^{10}.11+3^{10}.5}{3^9.2^4}4/ frac{5.4^{15}-9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}5/ frac{13.4^6.left(28frac{7}{13}-27frac{5}{18}right)}{59.2^{12}left(frac{5}{14}+frac{5}{84}+frac{5}{204}+frac{5}{374}right)}Tặng người giải mỗi ngày ba điểm hđ ...
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Tính giá trị biểu thức sau:
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\).
2/ \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
3/ \(\frac{2^{12}.13+2^{12}.65}{2^{10}.104}+\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
4/ \(\frac{5.4^{15}-9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
5/ \(\frac{13.4^6.\left(28\frac{7}{13}-27\frac{5}{18}\right)}{59.2^{12}\left(\frac{5}{14}+\frac{5}{84}+\frac{5}{204}+\frac{5}{374}\right)}\)
Tặng người giải mỗi ngày ba điểm hđ :)
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\frac{5^{20}.3^{29}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}=\frac{3^{29}.5^{18}.\left(25-9\right)}{3^{29}.5^{18}.\left(7-5\right)}=\frac{16}{2}=8\)
CÁC BÀI CÒN LẠI TƯƠNG TỰ HẾT NHÉ E
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Tính
\(\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
=2
bạn bấm máy tính hoặc tính theo kiểu rút gọn cũng ra
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tính N = \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
Ta có : N = \(\frac{5.\left(2^3.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.^{28}.3^{19}-7.2^{29}.3^{18}}\)
= \(\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{2^{28}.3^{18}.\left(5-7.2\right)}\)
= \(\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}.\left(-9\right)}\)
= \(\frac{3^{18}.2^{29}.\left(10-1\right)}{2^{28}.3^{18}.\left(-9\right)}=-2\)
Vậy N = -2
\(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)tính nhanh
A=\(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
Tính A
\(A=\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^{14}}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{5.\left(2^2\right)^9.\left(3^2\right)^9.\left(2^2\right)^6-2.\left(2^2\right)^{14}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(A=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{18}}{5.2^{28}.3^{18}-7.2.2^{28}.3^{18}}\)
\(A=5.\frac{\left(2^{18}.2^{12}\right).3^{18}.2^{29}.3^{18}}{2^{28}.3^{18}.\left(5-7-2\right)}\)
\(A=\frac{5.2^{30}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}.\left(-9\right)}\)
\(A=\frac{5.2.2^{29}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}.\left(-9\right)}\)
\(A=\frac{2^{20}.2^{18}.\left(5.2-1\right)}{2^{28}.3^{18}.\left(-9\right)}\)
\(A=\frac{2^{29}.3^{18}.9}{2^{28}.3^{18}.\left(-9\right)}\)
\(A=\frac{2.11}{11.\left(-2\right)}\)
\(A=-2\)
Vậy : A = -2
Tính N = \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(N=\frac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^6}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(N=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(N=\frac{2^{28}.3^{18}\left(5.2^2-2.3^2\right)}{2^{28}.3^{18}\left(5.3-7.2\right)}\)
\(N=\frac{5.4-2.9}{5.3-7.2}=\frac{20-18}{15-14}=2\)
Vậy N = 2
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Tính A = 81.\(\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}\).\(\frac{121212}{818181}\)
B = \(\frac{5\left(2^2.3^2\right)^9\left(2^2\right)^6-2\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{19}.3^{18}}\)
Tính nhanh \(\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.6^{19}-7.2^{29}.27^6}\)
tố uyên sai rồi
\(\frac{5.2^{30}.3^{18}-2^{^2}.3^{^{20}}.2^{^{27}}}{5.2^{^9}.6^{^{19}}-7.2^{^{29}}.27^{^6}}\)
\(=\frac{5.2^{^{30}}.3^{^{18}}-2^{^{29}}.3^{^{20}}}{5.2^{^9}.2^{^{19}}.3^{^{19}}-7.2^{^{29}}.\left(3^{^3}\right)^6}\)
\(=\frac{5.2.2^{^{29}}.3^{^{18}}-2^{^{29}}.3^{^2}.3^{^{18}}}{5.2^{^{28}}.3^{^{19}}-7.2^{^{29}}.3^{^{18}}}\)
\(=\frac{2^{^{29}}.3^{^{18}}\left(2.5-3^{^2}\right)}{5.2^{^{28}}.3.3^{^{18}}-7.2.2^{^{28}}.3^{^{18}}}\)
\(=\frac{2^{^{29}}.3^{^{18}}.\left(10-9\right)}{2^{^{28}}.3^{^{18}}.\left(5.3-7.2\right)}\)
\(=\frac{2^{^{29}}.3^{^{18}}}{2^{^{28}}.3^{^{18}}}=2\)
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Thục hiện phép tính
a) A = \(\frac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
b) B = \(81.\left(\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}:\frac{5+\frac{5}{13}+\frac{5}{169}+\frac{5}{91}}{6+\frac{6}{13}+\frac{6}{169}+\frac{6}{91}}\right).\frac{158158158}{711711711}\)
a,
A = 5.(22 . 32 )9. (22)6 - 2. (22.3)14.34 / 5.228.318 - 7.229.318
A = 5.218.318.212 - 2. 228. 314. 34 / 5. 228. 318 - 7. 229. 318
A = 5.230.318 - 229. 318 / 5.2 28.318 - 7.229. 318
A = 229. 318(5.2-1) / 228. 318 (5 -7.2)
A = 2.9 / -9 = -2
Vậy A = -2
b,
B =81.( 12 - 12/7- 12/289 - 12/85 / 4 - 4/7 - 4/289 - 4/85 :
5 + 5/13 + 5/169 + 5/91 / 6 + 6/13 + 6/169 + 5/91 ) x 158158158
B = 81.[ 12.( 1 - 1/7 - 1/289 - 1/85) / 4.( 1 - 1/7 - 1/289 - 1/85 :
5.(1 + 1/13 + 1/169 + 1/91) / 6.(1+ 1/13 +1/169 + 1/91)] . 2/9
B = 81.[ 3 : 5/6 ] .2/9
B = 81.18/5 . 2/9
B = 1458/5 . 2/9
B = 324/5.
Vậy B = 324/5
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