\(\frac{8^3.8^5}{2^{16}}\)tính
Tính:
\(\frac{5.2^{30}.6^2.3^{15}-2^3.8^9.3^{17}.21}{21.2^{29}.3^{16}.4-2^{29}.\left(3^4\right)^5}\)
\(\frac{5.2^{30}.6^2.3^{15}-2^3.8^9.3^{17}.21}{21.2^{29}.3^{16}.4-2^{29}.\left(3^4\right)^5}\)
\(=\frac{5.2^{30}.6^2.3^{15}-2^3.8^9.3^{15}.3^2.21}{21.2^{29}.3^{16}.4-2^{29}.\left(3^4\right)^5}\)
\(=\frac{3^{15}.\left(5.2^{30}.6^2-2^3.8^9.3^2.21\right)}{21.2^{29}.3^{16}.4-2^{29}.3^{20}}\)
Tiếp theo thì tự làm đc rồi chứ gì
tính tổng
\(A=\frac{1}{1.2}+\frac{2}{1.3}+\frac{3}{2.5}+\frac{5}{3.8}+\frac{8}{5.13}+\frac{13}{8.21}+...+\frac{987}{610.1597}\)
\(B=\frac{2^2}{1.3}+\frac{3^2}{2.4}+\frac{4^2}{3.5}+...+\frac{2017^2}{2016.2018}\)
\(C=\frac{5}{1.2.3}+\frac{8}{2.3.4}+\frac{11}{3.4.5}+...+\frac{6025}{2011.2012.2013}\)
bạn phải cho ra 2 số cuối thì mới làm đc nha có 1 s
ố cuối ko làm đc đâu
A= 1-1/2 + 1-1/3 + 1/2-1/5 + 1/3-1/8+ 1/5-1/13+1/8- 1/21 +....+ 1/610- 1/1597
A= 1/610
1/610 nha bn
k giùm mk nha các bn
>_< học tốt
tính:
a)\(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
b)\(\frac{2^{15}.9^4}{6^3.8^3}\)
c)\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(a,\) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
\(=\frac{2^{12}.3^{10}+\left(2.3\right)^9.2^3.3.5}{2^{12}.3^{12}-\left(2.3\right)^{11}}\)
\(=\frac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}+2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{\left(2^{12}.3^{10}\right)\left(1+5\right)}{\left(2^{11}.3^{11}\right)\left(2.3-1\right)}\)
\(=\frac{\left(2^{12}.3^{10}\right).6}{\left(2^{11}.3^{11}\right).5}\)
\(=\frac{2.6}{3.5}\)
\(=\frac{2.2}{5}\)
\(=\frac{4}{5}\)
\(b,\) \(\frac{2^{15}.9^4}{6^3.8^3}\)
\(=\frac{2^{15}.3^8}{2^3.3^3.2^9}\)
\(=\frac{2^{15}.3^8}{2^{12}.3^3}\)
\(=2^3.3^5\)
\(=8.243\)
\(=1944\)
Chúc bạn học tốt ^^
a) \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{\left(2^2\right)^6.\left(3^2\right)^5+6^9.120}{\left(2^3\right)^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}+6^9.120}{2^{12}.3^{12}-6^{11}}=\frac{6^{10}.4+6^{10}.20}{6^{12}-6^{11}}=\frac{6^{10}.\left(4+20\right)}{6^{11}.\left(6-1\right)}=\frac{6^{11}.4}{6^{11}.5}=\frac{4}{5}\)
b) \(\frac{2^{15}.9^4}{6^3.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^3.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^3.3^3.2^9}=\frac{2^{15}.3^8}{2^{12}.3^3}=2^3.3^5=1944\)
c) \(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(4.2\right)^{10}+4^{10}}{\left(2^3\right)^4+4^6.4^5}=\frac{4^{10}.2^{10}+4^{10}}{2^{12}+4^6.4^5}=\frac{4^{10}.\left(2^{10}+1\right)}{4^6+4^6.2^{10}}=\frac{4^{10}.\left(2^{10}+1\right)}{4^6.\left(1+2^{10}\right)}=\frac{4^{10}}{4^6}=4^4=256\)
tính
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(\frac{2^{15}.9^4}{6^3.8^3}\)
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(1+2^{10}\right)}=\frac{2^{20}}{2^{12}}=2^{20-12}=2^8\)
\(\frac{2^{15}.9^4}{6^3.8^3}=\frac{2^{15}.\left(3^2\right)^4}{2^3.3^3.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^3.3^3.2^9}=\frac{2^{15}.3^8}{2^{12}.3^3}=2^3.3^5=8.243=1944\)
Mình mới học lớp 6
Nên không biết nha
Chúc các bạn học giỏi
Tính giá trị biểu thức :
a ,\(\frac{45^{10}.5^{10}}{75^{10}}\)
b,\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)
c,\(\frac{2^{15}.9^4}{6^3.8^3}\)
d\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
Bài 1: Tính hợp lí nếu có thể:
a,\(13\frac{2}{7}:\frac{-8}{7}+2\frac{5}{7}:\frac{-8}{7}+\frac{4}{3}\)
b,\(\frac{5}{8}.1,31+34.\left(\frac{-1}{2}\right)^4-\frac{5}{8}.2,71\)
c,\(\frac{6^8.4^2-4^4.18^4}{27^3.8^4-3^0.2^{10}.8}\)
Bạn Hương có 27 viên bi, bạn Hiền có số bi bằng 1/3 số bi của bạn Hương. Trung bình cộng số bi của hai bạn là bao nhiêu?
10 điểm
36 viên
15 viên
30 viên
18 viên
Tìm số nguyên x , nếu biết
1 . \(2^x=4^5.4^3\) 2. \(2^x=8^3.8^{-10}.8^3\)
3 . \(3^x=\frac{8^4}{16^3}\) 4. \(\frac{2^{4-x}}{16^5}=32^6\)
1)
2x=48=216
vay x=16
2)
2x=8-4=2-12
=>x=-12
3)
3x=212/212=1
=>x=0
4)
24-x=326.165=230.220=250=>4-x=50=>x=-46
I : V~ ảnh
1, 2x = 48
2x = (22)8
2x = 216
2, \(2^x=8^3.\left(\frac{1}{8}\right)^{10}.8^3\)
\(2^x=8^6.\left(\frac{1}{8}\right)^{10}\)
chán qá, ko làm nữa @@
Tính:\(\frac{6^8.4^2-4^4.18^4}{27^3.8^4-3^0.2^{10}.8}\)
Các bạn giúp mình nha, nhanh mình tích cho!
=0 nha !
nhớ tích cho mìn nhe!
= 0 nha
k cho mik nhé
Tính:
\(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6}+\frac{1}{7}-\frac{1}{8}+.....+\frac{1}{2015}-\frac{1}{2016}+\frac{1}{2017}.\)
\(\frac{5-\frac{5}{3}+\frac{5}{9}-\frac{5}{27}}{8-\frac{8}{3}+\frac{8}{9}-\frac{8}{27}}:\frac{15-\frac{15}{11}+\frac{15}{121}}{16-\frac{16}{11}+\frac{16}{121}}.\)