\(\frac{2^{27}.9^4}{6^9.8^5}\)
1) Tính:
a) \(\frac{-5}{9}\): \(\frac{-7}{18}\) +\(1\frac{2}{7}\)
b) \(\frac{2^{27}.9^4}{6^9.8^5}\)
c)\(\sqrt{13^2}-5^2\) +\(\sqrt{3^2+4^2}\) -\(\sqrt{\left(-7\right)^2}\)
a ) \(\frac{-5}{9}:\frac{-7}{18}+1\frac{2}{7}\)
\(=\frac{-5}{9}.-\frac{18}{7}+\frac{9}{7}\)
\(=\frac{-5.-18}{9.7}+\frac{9}{7}\)
\(=\frac{10}{7}+\frac{9}{7}\)
\(=\frac{10+9}{7}\)
\(=\frac{19}{7}\)
\(\frac{2^{27}\times9^4}{6^9\times8^5}=\frac{2^{27}\times\left(3^2\right)^4}{\left(2\times3\right)^9\times\left(2^3\right)^5}=\frac{2^{27}\times3^8}{2^9\times3^9\times2^{15}}=\frac{2^3}{3}=\frac{8}{3}\)
\(\sqrt{13^2}-5^2+\sqrt{3^2+4^2}-\sqrt{\left(-7\right)^2}=13-25+\sqrt{9+16}-\sqrt{49}=13-25+5-7=-14\)
Mấy câu này bạn bấm máy tính là ra thui
C= \(\frac{9^9.8^2}{27^5.6^3}\)
(9^9.8^2)/(3^15.2^3.2^3)
(3^18.2^6)/(3^18.2^3)
2^3
\(C=\frac{9^9.8^2}{27^5.6^3}\)
\(=\frac{\left(3^2\right)^9.2^6}{\left(3^3\right)^5.\left(2.3\right)^3}\)
\(=\frac{3^{18}.2^6}{3^{15}.2^3.3^3}\)
\(=\frac{3^{18}.2^3.2^3}{3^{18}.2^3}=2^3=8\)
\(C=\frac{9^9.8^2}{27^5.6^3}\)
\(C=\frac{\left(3^2\right)^9.\left(2^3\right)^2}{\left(3^3\right)^5.\left(2.3\right)^3}\)
\(C=\frac{3^{18}.2^6}{3^{15}.2^3.3^3}\)
\(C=\frac{3^{18}.2^6}{3^{18}.2^3}\)
\(C=\frac{2^6}{2^3}\)
\(C=2^3\)
\(C=8\)
\(\dfrac{27^4.4^3}{9^5.8^2}\);\(\dfrac{3^{29}.4^{16}}{27^9.8^{11}}\)
a)\(\dfrac{27^4.4^3}{9^5.8^2}\)
=\(\dfrac{3^{12}.2^6}{3^{10}.2^6}\)
=3\(^2\)=9
b)\(\dfrac{3^{29}.4^{16}}{27^9.8^{11}}\)
=\(\dfrac{3^{29}.2^{32}}{3^{27}.2^{33}}\)
=\(\dfrac{9}{2}\)
\(\dfrac{27^4.4^3}{9^5.8^2}=\dfrac{\left(3^3\right)^4.\left(2^2\right)^3}{\left(3^2\right)^5.\left(2^3\right)^2}=\dfrac{3^{12}.2^6}{3^{10}.2^6}=\dfrac{3^{12}}{3^{10}}=3^2=9\)
_________
\(\dfrac{3^{29}.4^{16}}{27^9.8^{11}}=\dfrac{3^{29}.\left(2^2\right)^{16}}{\left(3^3\right)^9.\left(2^3\right)^{11}}=\dfrac{3^{29}.2^{32}}{3^{27}.2^{33}}=\dfrac{1}{3^2.2}=\dfrac{1}{9.2}=\dfrac{1}{18}\)
Mình sửa phần cuối câu 2:
\(...=\dfrac{3^2}{2}=\dfrac{9}{2}\)
Câu 1:Kết quả của phép tính 3^29.4^16/27^9.8^11 bằng :
A.6
B.2/9
C.9/2
D.1/6
các bạn ơi giúp đỡ mình với ạ
Kết quả của phép tính 3^29.4^16/27^9.8^11 bằng :
A . 6
B . 2/9
C . 9/2
D . 1/6
Cho C= \(4+\frac{1}{7^6}+\frac{3}{7}+\frac{4}{7^2}+\frac{-441}{7^6}+\frac{27}{7^5}\)
D=\(\frac{147}{7^3}+4+\frac{35}{7^7}+\frac{4}{7^2}+\frac{27}{7^5}+\frac{-9}{7^9}\)
So sánh C với D
Cho:
\(A=4+\frac{1}{7^6}+\frac{3}{7}+\frac{4}{7^2}+\frac{-441}{7^6}+\frac{27}{7^5}\)
\(B=\frac{147}{7}+4+\frac{35}{7^7}+\frac{4}{7^2}+\frac{27}{7^5}+\frac{-9}{7^9}\)
Hãy so sánh A với B
Tính:
a) \(\frac{\frac{3}{5}+\frac{3}{27}-\frac{3}{9}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{27}-\frac{4}{9}-\frac{4}{11}}\)
b) \(\frac{5-\frac{5}{3}-\frac{5}{27}}{8-\frac{8}{3}-\frac{8}{27}}:\frac{15+\frac{15}{121}-\frac{15}{11}}{16+\frac{16}{121}-\frac{16}{11}}\)
c) \(\frac{1}{2}:\left(\frac{-3}{2}\right):\frac{4}{3}:\left(\frac{-5}{4}\right):\frac{6}{5}:\left(\frac{-7}{6}\right):...:\left(\frac{-101}{100}\right)\)
Mọi người nhớ đánh nhanh câu trả lời giúp mình nhé!!
Mọi người đánh giúp mình nhé! Hạn là tối nay!!
1/ Tính hợp lí nếu có thể:
\(a\left(6\frac{4}{11}+3\frac{7}{9}\right)-4\frac{4}{11}\)
\(0,25:\left(10.3-9.8\right)-\frac{3}{4}\)
\(a)\left(6\frac{4}{11}+3\frac{7}{9}\right)-4\frac{4}{11}\)
\(=(6\frac{4}{11}-4\frac{4}{11})+3\frac{7}{9}\)
\(=2\frac{4}{11}+3\frac{7}{9}\)
\(=\frac{26}{11}+\frac{34}{9}\)
\(=\frac{608}{99}\)
\(b)0,25:\left(10.3-9.8\right)-\frac{3}{4}\)
\(=\frac{1}{4}:\left(30-72\right)-\frac{3}{4}\)
\(=\frac{1}{4}:\left(-42\right)-\frac{3}{4}\)
\(=\frac{-1}{168}-\frac{3}{4}\)
\(=\frac{-127}{168}\)
hùng ơi, bạn xem lại chỗ:
\(6\frac{4}{11}-4\frac{4}{11}\)nha
mình ra bằng 2 cơ, các bạn online math góp ý giùm mình nha!!!
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