Question

Rút gọn phân số

\(\frac{3^4\cdot5-3^6}{3^4\cdot13+3^4}\)

Answer 1

\(\frac{3^4\cdot5-3^6}{3^4\cdot13+3^4}\)

\(=\frac{3^4\cdot\left(5-3^2\right)}{3^4\cdot\left(13+1\right)}\)

\(=\frac{5-9}{13+1}\)

\(=-\frac{4}{14}=-\frac{2}{7}\)

Answer 2

\(\frac{3^4.5-3^6}{3^4.13+3^4}=\frac{3^4.5-3^4.9}{3^4\left(13+1\right)}=\frac{3^4\left(5-9\right)}{3^4.14}=\frac{3^4.\left(-4\right)}{3^4.14}=\frac{-4}{14}=\frac{-2}{7}\)