Question

[Trương Thị Bích Ngọc]

27 mũ 4 x 15 mũ 3 x 8 mũ 2 phần 6 mũ 7 x 9 mũ 3 x 15

Answer 1

[Nguyễn Lê Phước Thịnh]

\(\dfrac{27^4\cdot15^3\cdot8^2}{6^7\cdot9^3\cdot15}=\dfrac{3^{12}\cdot3^3\cdot5^3\cdot2^6}{2^7\cdot3^7\cdot3^6\cdot3\cdot5}\)

\(=\dfrac{3^{15}\cdot5^3\cdot2^6}{2^7\cdot3^{14}\cdot5}=\dfrac{2^6}{2^7}\cdot\dfrac{3^{15}}{3^{14}}\cdot\dfrac{5^3}{5}\)

\(=\dfrac{3\cdot5^2}{2}=\dfrac{3\cdot25}{2}=\dfrac{75}{2}\)

Answer 2

[Toru]

\(\dfrac{27^4.15^3.8^2}{6^7.9^3.15}=\dfrac{\left(3^3\right)^4.\left(3.5\right)^3.\left(2^3\right)^2}{\left(2.3\right)^7.\left(3^2\right)^3.\left(3.5\right)}\\ =\dfrac{3^{12}.3^3.5^3.2^6}{2^7.3^7.3^6.3.5}=\dfrac{3^{15}.2^6.5^3}{3^{14}.2^7.5}\\ =\dfrac{3.5^2}{2}=\dfrac{75}{2}\)