a) \(5.2^4+2.3^3-3,4\)

\(=5.2.2^3+2.3^3-3,4\)

\(=2.40+2.27-3,4\)

\(=2\left(40+37\right)-3,4\)

\(=2.77-4,3\)

\(=154-4,3=149,7\)

b) \(\dfrac{\dfrac{1}{3}-0,25+0,2}{1\dfrac{1}{6}-0,875+0,7}=\dfrac{2\left(\dfrac{1}{6}-0,125+\dfrac{1}{10}\right)}{7\left(\dfrac{1}{6}-0,125+\dfrac{1}{10}\right)}=\dfrac{2}{7}\)

a. \(5.2^4+2.3^3-3,4\)

\(=5.2^3.2+2.27-3,4\)

\(=2.\left(40+27\right)-3,4\)

\(=2.67-3,4\)

= 134 - 3,4 = 130,6

ta có: A:0.25=A x 4

Ta có

A)(40.7-17.5)x4

=23.2x4=92.8

B)ko biết:)))))))))))))))))))))))))))

\(C=\dfrac{2^6\cdot3^{10}}{3^9\cdot2^6}=3\\ D=\dfrac{3^{24}\cdot3^{10}}{3^{21}\cdot3^{11}}=\dfrac{3^{34}}{3^{32}}=3^2=9\\ F=\dfrac{2^{45}\cdot5^{14}}{5^{15}\cdot2^{47}}=\dfrac{1}{2^2\cdot5}=\dfrac{1}{20}\\ G=\dfrac{2^2\cdot5^2\cdot5^3}{2^3\cdot5^4}=\dfrac{1\cdot5}{2}=\dfrac{5}{2}\)

C=3

D=9

F=1/20

G=5/2

Em ko giải chi tiết vì nó lâu

Mong thông cảm!

C= \(\dfrac{8^2.9^5}{3^9.4^3}\)

   = \(\dfrac{\left(2^3\right)^2.\left(3^2\right)^5}{3^9.\left(2^2\right)^3}\)

   = \(\dfrac{2^6.3^{10}}{3^9.2^6}\)

   = \(\dfrac{3^1}{1}\)

   = \(\dfrac{3}{1}\)

a: \(\Leftrightarrow3^x\cdot\left(\dfrac{2}{3}\cdot3-7\right)=405\)

\(\Leftrightarrow3^x=-81\)(vô lý)

b: \(\left(0,4x-1,3\right)^2=5,29\)

=>0,4x-1,3=2,3 hoặc 0,4x-1,3=-2,3

=>0,4x=3,6 hoặc 0,4x=-1

=>x=9 hoặc x=-2,5

c: \(5\cdot2^{x+1}\cdot2^{-2}-2^x=284\)

\(\Leftrightarrow2^x\cdot5\cdot2\cdot2^{-2}-2^x=284\)

\(\Leftrightarrow2^x\cdot\left(\dfrac{5}{2}-1\right)=284\)

\(\Leftrightarrow2^x=\dfrac{568}{3}\)(vô lý)

d: \(\Leftrightarrow4^x\left(1+4^3\right)=4160\)

\(\Leftrightarrow4^x=64\)

hay x=3

\(a,700:\left\{100-\left[40.2-\left(20.5\right):5\right]\right\}\\ =700:\left\{100-\left[80-20\right]\right\}\\ =700:40\\ =\dfrac{35}{2}.\)

Kiểm tra lại dấu phần \(b,\) .

700:{100-[40.2-100:5]}

700:(100-80-20)

700:0

70

a. 700 : { 100 - [ 40 . 2 - ( 20 . 5 ) : 5 ] }

= 700: { 100 - [ 40 . 2 - 100 : 5 ] }

= 700 : { 100 - [ 80-20 ] }

= 700 : { 100 - 60 }

= 700 : 40

= 17.5 

\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}{5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)

\(=\dfrac{2^{29}\cdot3^{18}\left(5\cdot2-9\right)}{2^{28}\cdot3^{18}\left(5\cdot3-7\cdot2\right)}=2\)

\(\dfrac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}=\dfrac{5.2^{30}.3^{18}-2^{29}.3^{20}}{2^{28}.3^{19}.5-7.2^{29}.3^{18}}=\dfrac{2^{29}.3^{18}\left(5.3+3^2\right)}{2^{28}.3^{18}\left(3.5+7.2\right)}=\dfrac{2.24}{29}=\dfrac{48}{29}\)

RÚT GỌN VỀ PHÂN SỐ TỐI GIẢN

câu a) \(\dfrac{-147}{252}=\dfrac{-7}{12}\)

câu b) \(\dfrac{765}{900}=\dfrac{17}{20}\)

câu c) \(\dfrac{11\cdot3-11\cdot8}{17-6}=\dfrac{-5}{1}\)

câu d) \(\dfrac{3^5\times2^4}{8\times3^6}=\dfrac{2}{3}\)

câu e) \(\dfrac{84\cdot45}{49\cdot54}=\dfrac{10}{7}\)