a: \(=\dfrac{2^{12}\cdot3^{14}}{3^{12}\cdot2^{12}}=3^2=9\)

b: \(=\dfrac{7^3\cdot2\cdot5^3}{5^2\cdot7^2\cdot6}=7\cdot5\cdot\dfrac{1}{3}=\dfrac{35}{3}\)

d: =2^5(2^8+1)/2^2(2^8+1)=2^3=8

c: \(=\dfrac{5^3\cdot3^6\cdot2^8\cdot5^4\cdot3^4\cdot2^2}{2^{10}\cdot3^{10}\cdot5^5}=5^2\)

B = 4^9.36+64^4
       16^4.100
B = 2^20.(9+16)
       2^18.5^2
B = 2^20.5^2
      2^18.5^2
B = 2^2
B = 4

D = 4^6.3^4.9^5
           6^12
D = 2^12.3^4.9^5
        2^12.3^12
D = 2^12.3^14
       2^12.3^12
D = 3^2
D = 9

\(\frac{4^9.36+64^4}{16^4.100}=\frac{4^{10}\left(9+8\right)}{4^{10}.25}=\frac{17}{25}\)

cảm ưn các bn nhìu

a, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(=\dfrac{2^{10}.\left(13+65\right)}{2^8.2^3.13}\)

\(=\dfrac{2^{10}.78}{2^{11}.13}\)\(=\dfrac{1.6}{2.1}=\dfrac{1.3}{1.1}=3\)

b: \(=\dfrac{2^{20}\cdot3^2+2^{54}}{2^{18}\cdot5^2}=\dfrac{2^{20}\left(3^2+2^{32}\right)}{2^{18}\cdot5^2}=\dfrac{2^2\left(3^2+2^{32}\right)}{25}\)

c: \(=\dfrac{2^9\cdot3^6\cdot3^6\cdot2^2}{2^8\cdot3^{12}}=\dfrac{2^{11}}{2^8}=8\)

d: \(=\dfrac{2^{12}\cdot3^4\cdot3^{10}}{2^{12}\cdot3^{12}}=9\)

a, =\(3^4+2^5=81+32=113\)

b, =\(3.\left(4^2-2.3\right)=3.\left(16-6\right)=3.10=30\)

c, =\(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)

d, =\(\dfrac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}=3\)

e, =\(\dfrac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}=\dfrac{3^{10}.2^{10}.5^7}{2^{10}.3^{10}.5^5}=5^2=25\)

g, =\(\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=\dfrac{2^5}{2^2}=2^3=8\)

\(\frac{4^6.3^4.9^5}{6^{12}}=\frac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{2^{12}.3^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)

\(\frac{4^6\cdot3^4\cdot9^5}{6^{12}}\)

\(=\frac{2^{12}\cdot3^4\cdot3^{10}}{2^{12}\cdot3^{12}}\)

\(=\frac{1\cdot3^{14}}{1\cdot3^{12}}\)

\(=\frac{3^{14}}{3^{12}}\)

\(=3^2\)

\(=9\)

\(\left(4096.81.729\right):2176782336\)

\(\left(331776.729\right):2176782336\)

\(\left(241864704\right):2176782336\)

\(\frac{4^6.3^4.9^3}{6^{12}}=\frac{2^{12}.3^4.3^6}{2^{12}.3^{12}}=\frac{2^{12}.3^{10}}{2^{12}.3^{12}}=\frac{1}{3^2}=\frac{1}{9}\)

=(2^12x3^10):2^12:3^12

=2^12:2^12x3^10:3^12

=3^(-2)

=1/9

a, \(\dfrac{3^8}{3^4}+2^2.2^3\)
= 3⁴ + 2⁵
= 113
b, 3.4² - 2.3²
= 3.(4² - 2.3)
= 3.(16 - 6)
= 3.10
= 30
c, \(\dfrac{4^6.3^4.9^5}{6^{12}}\)

= \(\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}\)

= \(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}\)

= \(\dfrac{3^{14}}{3^{12}}\)

= 3²
@Dương Tuyết Mai