Question

Chứng minh rằng: 81⁷- 27⁹- 9¹³ chia hết cho 5

Answer 1

\(=\left(3^4\right)^7-\left(3^3\right)^9-\left(3^2\right)^{13}\)

\(=3^{28}-3^{27}-3^{26}\)

\(=3^{26}\left(9-3-1\right)=3^{26}.5\)chia hết cho 5

Answer 2

\(81^7-27^9-9^{13}\)

\(=\left(3^4\right)^7-\left(3^3\right)^9-\left(3^2\right)^{13}\)

\(=3^{28}-3^{27}-3^{26}\)

\(=3^{26}\left(3^2-3-1\right)\)

\(=3^{26}\cdot5⋮5\left(đpcm\right)\)

Answer 3

\(81^7-27^9-9^13 =(3^4)^7-(3^3)^9-(3^2)^13 =3^28-3^27-3^26 =3^26.9-3^26.3-3^26.1 =3^26.(9-3-1) =3^26.5 ĐPCMMMMMMMMMMMMMMMMMMMM \)