Question

[Trần Thị Thảo Linh]

Giúp tớ với,mai tớ đi học rồi

Answer 1

[qwerty]

a) \(A=\dfrac{12^3\cdot54^2}{108^4}\)

\(=\dfrac{12^3\cdot2^2\cdot\left(3^3\right)^2}{9^4\cdot12^4}\)

\(=\dfrac{4\cdot3^6}{\left(3^2\right)^4\cdot12}\)

\(=\dfrac{1\cdot3^5}{3^8}\)

\(=\dfrac{1}{3^3}\)

\(=\dfrac{1}{27}\)

b) \(B=\dfrac{3^{12}\cdot13+3^{12}\cdot3}{3^{11}\cdot2^4}\)

\(=\dfrac{13\cdot3^{12}+3\cdot3^{12}}{3^{11}\cdot2^4}\)

\(=\dfrac{16\cdot3^{12}}{3^{11}\cdot2^4}\)

\(=\dfrac{2^4\cdot3}{2^4}\)

\(=3\)

c) \(C=\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)

\(=\dfrac{13\cdot2^{10}+65\cdot2^{10}}{2^8\cdot104}\)

\(=\dfrac{78\cdot2^{10}}{2^8\cdot104}\)

\(=\dfrac{3\cdot2^2}{4}\)

\(=\dfrac{3\cdot4}{4}\)

\(=3\)

Answer 2

[lê thị hương giang]

\(B=\dfrac{3^{12}.13+3^{12}.3}{3^{11}.2^4}=\dfrac{3^{12}.\left(13+3\right)}{3^{11}.16}=\dfrac{3^{12}.16}{3^{11}.16}=3\)

\(C=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}=\dfrac{2^{10}.\left(13+65\right)}{2^8.104}=\dfrac{4.78}{104}=\dfrac{3}{101}\)