Question

giúp mình nha mn! Tks

Tính;

\(\frac{3^6.15^8}{9^7.5^9}\)

 

Answer 1

ta có 
\(\frac{3^6.\left(3.5\right)^8}{\left(3.3\right)^7.5^9}\)= \(\frac{3^6.3^8.5^8}{3^7.3^7.5^9}\)= \(\frac{1}{5}\)

Answer 2

Đặt \(A=\frac{3^6.15^8}{9^7.5^9}\)

\(\Leftrightarrow A=\frac{3^6.\left(3.5\right)^8}{\left(3^2\right)^7.5^9}\)

\(\Leftrightarrow A=\frac{3^6.3^8.5^8}{3^{14}.5^9}\)

\(\Leftrightarrow A=\frac{3^{14}.5^8}{3^{14}.5^9}\)

\(\Leftrightarrow A=\frac{3^{14}}{3^{14}}.\frac{5^8}{5^9}\)

\(\Leftrightarrow A=1.\frac{1}{5}=\frac{1}{5}\)