Question

\(\frac{3^8.5^9+15^8.3^2}{15^9.3^3-3^8.5^9}\)

Ai làm đúng và nhanh mình tick cho!

Answer 1

\(\frac{3^8.5^9+15^8.3^2}{15^9.3^3-3^8.5^9}\)

\(=\frac{3^8.5^9+5^8.3^{10}}{5^9.3^{12}-3^8.5^9}\)

\(=\frac{3^8.5^8.\left(5+3^2\right)}{5^9.3^8.\left(3^4-1\right)}=\frac{14}{80}=\frac{7}{40}\)

Answer 2

\(=\frac{15^8.5+15^8.3^2}{15^8.5.3.3^3-15^8.5}\)

\(=\frac{15^8\left(5+9\right)}{15^8\left(5.3^4-5\right)}\)

\(=\frac{15^8.14}{15^8.400}\)

\(=\frac{14}{400}\)

\(=\frac{7}{200}\)

Answer 3

\(\frac{3^8\cdot5+15^8\cdot3^2}{15^9\cdot3^3-3^8\cdot5^9}\)

\(=\frac{3^8\cdot5^9+5^8\cdot3^9}{5^9\cdot3^3-3^8\cdot5^9}\)

\(=\frac{3^8\cdot5^8\left(5+3^2\right)}{5^9\cdot3^8\cdot\left(3^4-1\right)}\)

\(=\frac{14}{80}=\frac{7}{40}\)

Answer 4

Đình Sang Bùi ơi, giải thích kỹ được không?

Answer 5

\(\frac{3^8.5^9+15^8.3^2}{15^9.3^3-3^8.5^9}\)

=\(\frac{3^8.5^9+3^8.5^8.3^2}{3^9.5^9.3^3-3^8.5^9}\)

=\(\frac{3^8.5^8.\left(5+9\right)}{3^8.5^9.\left(81-1\right)}\)

=\(\frac{14}{5.80}\)

=\(\frac{14}{400}\)

Answer 6

Cảm ơn tất cả các bạn đã giúp mình trả lời câu hỏi

Answer 7

\(\frac{3^8.5^9+15^8.3^2}{15^9.3^3-3^8.5^9}=\frac{3^8.5^9+3^8.5^8.3^2}{3^9.5^9-3^8.5^9}\)

\(=\frac{3^8.5^9+3^{10}.5^8}{3^9.5^9-3^8.5^9}=\frac{3^8.5^8.\left(5+3^2\right)}{3^8.5^9.\left(3-1\right)}\)

\(=\frac{14}{5.2}=\frac{7}{5}\)

Chúc bạn học tốt !