Question

[Lê Đức Anh Vũ]

tính

\(\dfrac{27^{10}+9^5}{9^{13}+27^2}\)

Answer 1

[HT.Phong (9A5)]

\(\dfrac{27^{10}+9^5}{9^{13}+27^2}\)

\(=\dfrac{\left(3^3\right)^{10}+\left(3^2\right)^5}{\left(3^2\right)^{13}+\left(3^3\right)^2}\)

\(=\dfrac{3^{30}+3^{10}}{3^{26}+3^6}\)

\(=\dfrac{3^{10}\cdot\left(3^{20}+1\right)}{3^6\cdot\left(3^{20}+1\right)}\)

\(=\dfrac{3^{10}}{3^6}\)

\(=3^{10-6}\)

\(=3^4\)

Answer 2

[Mai Trung Hải Phong]

1