rút gọn biểu thức :
\(A=\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}\)
nhanh nha mấy bn mai mik phải nộp rồi
Rút gọn
\(\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}\)
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)
giúp tớ nhé
tớ bị trừ 41 điểm
cảm ơn trước
cảm ơn huhuh
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{\left(3^4\right)^{11}.3^{17}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=\frac{3^1}{1}=3\)
\(\frac{81^{12}.3^{17}}{27^{10}.9^{15}}\)
= \(\frac{9^{13}.3^{17}}{3^{13}.9^{15}}\)
= \(\frac{3^4}{9^2}\)
= \(\frac{81}{81}\)
= 1
\(\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}\)
\(81^{11}.3^{17}=3^{61};27^{10}.9^{15}=3^{60}\Rightarrow bt=3\)
\(\frac{81^{11}.3^{17}}{27^{10}.9^{15}}=\frac{3^{44}.3^{17}}{3^{30}.3^{30}}=\frac{3^{61}}{3^{60}}=3\)
rút gọn biểu thức
a) \(\frac{20^5\cdot5^{10}}{\left(4\cdot25\right)^5}\)b)\(\frac{6^3+3\cdot6^2+3^3}{-13}\)c)\(\frac{125^{12}}{5^{13}\cdot25^{11}}\)d)\(\left(2^{-1}+3^{-1}\right):\left(2^{-1}-3^{-1}\right)+\left(2^{-1}\cdot2^0\right)\cdot2^3\)
e)\(\frac{81^{11}\cdot3^{17}}{27^{10}\cdot9^{15}}\)
Rút gọn
\(\frac{35\cdot9^{11}\cdot25^6-162\cdot5^{12}27^6}{17\cdot15^{12}\cdot9^{17}-54\cdot3^{20}\cdot125^4}\)
Tính:
a/\(\frac{3^{17}\cdot81^{11}}{27^{10}\cdot9^{15}}\)
b/\(\frac{9^2\cdot2^{11}}{16^2\cdot6^3}\)
c/\(\frac{2^{10}\cdot3^{31}+2^{40}\cdot3^6}{2^{11}\cdot3^{31}+2^{41}\cdot3^6}\)
\(\frac{3^{17}\cdot81^{11}}{27^{10}\cdot9^{15}}\)
\(=\frac{3^{17}\cdot\left(3^4\right)^{11}}{\left(3^3\right)^{10}\cdot\left(3^2\right)^{15}}\)
\(=\frac{3^{17}\cdot3^{44}}{3^{30}\cdot3^{30}}\)
\(=\frac{3^{61}}{3^{60}}\)
\(=3\)
\(\frac{9^2\cdot2^{11}}{16^2\cdot6^3}\)
\(=\frac{\left(3^2\right)^2\cdot2^{11}}{\left(2^4\right)^2\cdot\left(2\cdot3\right)^3}\)
\(=\frac{3^4\cdot2^{11}}{2^8\cdot2^3\cdot3^3}\)
\(=\frac{3^4\cdot2^{11}}{2^{11}\cdot3^3}\)
\(=\frac{3^4}{3^3}\)
\(=3\)
\(\frac{2^{10}\cdot3^{31}+2^{40}\cdot3^6}{2^{11}\cdot3^{31}+2^{41}\cdot3^6}\)
\(=\frac{2^{10}\cdot3^{31}+2^{40}\cdot3^6}{2\cdot\left(2^{10}\cdot3^{31}+2^{40}\cdot3^6\right)}\)
\(=\frac{1}{2}\)
Rút gọn:
\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}\)
317.8111/2710.915
=317.(34)11/(33)10.(32)15
=317.344/330.330
=361/360
=3
\(\frac{3^{17}.81^{11}}{27^{10}.9^{15}}=\frac{3^{17}.\left(3^4\right)^{11}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{3^{17}.3^{41}}{3^{30}.3^{30}}=\frac{3^{17+41}}{3^{30+30}}=\frac{3^{58}}{3^{60}}=\frac{1}{3^2}=\frac{1}{9}\)
nho k day
rút gọn các biểu thức sau :
a) -11+y+7
b) x+22+(-14)
c) a+(-15)+62
làm nhanh hộ mình nhé , mai nộp rồi !
Rút gọn :\(\frac{2\cdot3\cdot5+4\cdot9\cdot25+6\cdot9\cdot35+10\cdot21\cdot40}{2\cdot3\cdot5+4\cdot9\cdot35+6\cdot9\cdot49+10\cdot21\cdot56}\)
rút gọn phân số a)10+5^4*5
b)2^2*9^27*2
trả lời giúp nha! mai mình phải nộp rồi !!!...
a)10+5^4*5=10+5^5
b)2^2*9^27*2=2^3*9^27
10+5/4.5=15/20=3/4
2^2.9/27.2 = 2^2.9/ 3.9.2 = 2.1/3.1= 1/3
Sai đề bài rồi! 😋😴