\(\frac{2^2.4.32}{\left(-2\right)^2.2^5}\) \(9.3^2.\frac{1}{81}.27\)
Viết các biểu thức sau dưới dạng lũy thừa
a/ 9 x 32 x \(\frac{1}{81}\)x 27
b/ 4 x 32: (23 x \(\frac{1}{16}\))
c/34 x 35 :\(\frac{1}{27}\)
d/ \(\frac{2^2.4.32}{\left(-2\right)^2.2^5}\)
viết các biểu thức sau dưới dạng an
a)\(9.3^3.\frac{1}{81}.3^2\)
b)\(4.2^5:\left(2^3.\frac{1}{16}\right)\)
c)\(3^2.2^5.\left(\frac{2}{3}\right)^2\)
d)\(\left(\frac{1}{3}\right)^2.\frac{1}{3}.9^2\)
d,\(=\frac{1}{3^2}\cdot\frac{1}{3}\cdot\left(3^2\right)^2=\frac{3^4}{3^3}=3\)
b,\(=2^2\cdot2^5:\left(2^3\cdot\frac{1}{2^4}\right)=2^7:\frac{1}{2}=2^7\cdot2=2^8\)
ủa , còn câu trả lời của e ạ !!! chắc oline math duyệt !!!
Viết các biểu thức số sau dưới dạng \(^{a^n}\)(\(a\in Q\),\(n\in N\))
a) \(9.3^3.\frac{1}{81}.3^2\)
b) \(4.2^5:\left(2^3.\frac{1}{16}\right)\)
c) \(3^2.2^5.\left(\frac{2}{3}\right)^2\)
d) \(\left(\frac{1}{3}\right)^2.\frac{1}{3}.9^2\)
a) \(9\cdot3^3\cdot\frac{1}{81}\cdot3^2\)
\(=\frac{3^2\cdot3^3\cdot3^2}{3^4}\)
\(=3^3=27\)
b) \(4\cdot2^5:\left(2^3\cdot\frac{1}{16}\right)\)
\(=\frac{2^2\cdot2^2\cdot2^4}{2^3}\)
\(=2^5=32\)
c) \(3^2\cdot2^5\cdot\left(\frac{2}{3}\right)^2\)
\(=\frac{3^2\cdot2^5\cdot2^4}{3^2}\)
\(=2^9=512\)
d) \(\left(\frac{1}{3}\right)^2\cdot\frac{1}{3}\cdot9^2\)
\(=\frac{1^2\cdot1\cdot3^4}{3^2}\)
\(=3^2=9\)
Viết biểu thức sau dưới dạng: (với a thuộc Q; m thuộc Z)
a, \(3^2.\frac{1}{243}.81^2.\frac{1}{3^3}\)
b,\(4^6.256^2.2^4\)
c,\(\left(\left(\frac{1}{9}:\frac{8}{27}\right):\frac{16}{48}\right):\frac{81}{128}\)
1.tính
a. \(\frac{5.7^4+3^2.2\frac{2}{5}}{7^5.125.7^3.50}\)
b. \(\left(\frac{3^2}{2}.\frac{3^3}{81}\right)^{12}:\left(\frac{3^6}{81^2}\right)^{10}\)
làm nhanh giúp mik....đang cần gấp
Bài 1: viết các biểu thức dưới dạng lũy thừa. a/ 9.3^2.1/81.27. b/ 4.32:(2^3.1/16). c/ 3^4.3^5:1/27 d/ 2^2.4.32/(-2^2).2^5.
a/
\(9.3^2.\frac{1}{81}.27=\frac{9.3^2.27}{81}=\frac{3^2.3^2.3^3}{3^4}=\frac{3^7}{3^4}=3^3\)
b/
\(4.32:\left(2^3.\frac{1}{16}\right)=4.32:\left(\frac{2^3}{16}\right)=4.32:\left(\frac{2^3}{2^4}\right)=4.32:\frac{1}{2}=4.32.2=4.64=4.4^3=4^4\)
c/
\(3^4.3^5:\frac{1}{27}=3^4.3^5.27=3^4.3^5.3^3=3^{12}\)
d/(ý bạn là (-2)^2 hay -2^2 , mình làm theo cách (-2)^2 nhé!)
\(2^2.4.\frac{32}{\left(-2\right)^2}.2^5=2^2.2^2.\frac{2^5}{2^2}.2^5=2^2.2^2.2^3.2^5=2^{12}\)
tìm x,y :
\(\frac{1}{2}-\left(6\frac{5}{9}+x-\frac{117}{8}\right):\left(12\frac{1}{9}\right)=0\)
\(\left(y+\frac{1}{3}\right)+\left(y+\frac{2}{9}\right)+\left(y+\frac{1}{27}\right)+\left(y+\frac{1}{81}\right)=\frac{56}{81}\)
1, \(\frac{1}{2}-\left(6\frac{5}{9}+x-\frac{117}{8}\right):\left(12\frac{1}{9}\right)=0\)
\(\left(\frac{6.9+5}{9}+x-\frac{117}{8}\right):\frac{12.9+1}{9}=\frac{1}{2}\)
( . là nhân nha)
\(\left(\frac{59}{9}-\frac{117}{8}+x\right):\frac{109}{9}=\frac{1}{2}\)
\(\frac{59}{9}-\frac{117}{8}+x=\frac{1}{2}\cdot\frac{109}{9}\)
\(\frac{59}{9}-\frac{117}{8}+x=\frac{109}{18}\)
\(x=\frac{109}{18}-\frac{59}{9}+\frac{117}{8}\)
\(x=\frac{113}{8}\)
( \(\left(y+\frac{1}{3}\right)+\left(y+\frac{2}{9}\right)+\left(y+\frac{1}{27}\right)+\left(y+\frac{1}{81}\right)=\frac{56}{81}\)
\(y+\frac{1}{3}+y+\frac{2}{9}+y+\frac{1}{27}+y+\frac{1}{81}=\frac{56}{81}\)
\(4y+\frac{1}{3}+\frac{2}{9}+\frac{1}{27}+\frac{1}{81}=\frac{56}{81}\)
\(4y+\frac{49}{81}=\frac{56}{81}\)
\(4y=\frac{7}{81}\)
y = 7/81:4
y = 7/324
Viết các biểu thức sau đây dưới dạng an (a ϵ Q ; n ϵ N*)
a) 9.35.\(\frac{1}{81}\)
b) 8.24 : \(\left(2^3.\frac{1}{16}\right)\)
c) 32.35:\(\frac{1}{27}\)
d) 125.52.\(\frac{1}{625}\)
a: \(=3^2\cdot3^5:3^4=3^{2+5-4}=3^3\)
b: \(=2^3\cdot2^4:\left(\dfrac{8}{16}\right)=\dfrac{2^7}{2}=2^6\)
c: \(=3^7\cdot3^3=3^{10}\)
d: \(=5^3\cdot5^2\cdot\dfrac{1}{5^4}=5^1\)
Viết các biểu thức sau dưới dạng lũy thừa:
a)\(9.3^2.\frac{1}{81}.27\) b)\(4.32:\left(2^3.\frac{1}{16}\right)\) c) \(3^4.3^5:\frac{1}{27}\)