Question

[Dương Gia Huệ]

Tính.( Tính nhanh nếu có thể ):

A = \(\frac{2^4.25^4}{10^5.5^5}\)

B = \(\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)

Answer 1

[I don't need you]

a) \(A=\frac{2^4.25^4}{10^5.5^5}=\frac{2^4.\left(5^2\right)^4}{\left(2.5\right)^5.5^5}=\frac{2^4.5^8}{2^5.5^{10}}=\frac{1}{2.5^2}=\frac{1}{50}\)

b) \(B=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)

\(B=\frac{2^{10}.3^8-2^{10}.3^9}{2^{10}.3^8+2^{10}.3^8.5}=\frac{2^{10}.3^8.\left(1-3\right)}{2^{10}.3^8.\left(1+5\right)}=\frac{-2}{6}=\frac{-1}{3}\)

Answer 2

[kudo shinichi]

\(A=\frac{2^4.25^4}{10^5.5^5}\)

\(A=\frac{2^4.\left(5^2\right)^4}{\left(2.5\right)^5.5^5}\)

\(A=\frac{2^4.5^8}{2^5.5^5.5^5}\)

\(A=\frac{5^8}{2.5^{10}}\)

\(A=\frac{1}{2.5^2}=\frac{1}{2.25}=\frac{1}{50}\)

\(B=\frac{4^5.9^4-2.6^9}{2^{10}.3^8+6^8.20}\)

\(B=\frac{\left(2^2\right)^5.\left(3^2\right)^4-2.\left(2.3\right)^9}{2^{10}.3^8+\left(2.3\right)^8.2^2.5}\)

\(B=\frac{2^{10}.3^8-2^{10}.2.3^9}{2^{10}.3^8+2^{10}.3^8.5}\)

\(B=\frac{2^{10}.\left(3^8-2.3^9\right)}{2^{10}.\left(3^8+3^8.5\right)}\)

\(\Rightarrow B=\frac{3^8.2.3^9}{3^8+3^8.5}\) ( \(2^{10}\ne0\))

\(B=\frac{3^8.\left(1-2.3\right)}{3^8.\left(1+5\right)}\)

\(B=\frac{1-6}{1+5}\left(3^8\ne0\right)\)

\(B=\frac{-5}{6}\)

Tham khảo nhé~