Question

Tính : \(\dfrac{8^{10}\cdot15^{16}}{12^{15}\cdot25^8}\)

Answer 1

Cần kết quả thôi hay cả cách làm ạ?

Answer 2

\(\dfrac{8^{10^{^{ }}}.15^{16}}{12^{15}.25^8}\)=\(\dfrac{2^{30}.5^{16}.3^{16}}{2^{30}.3^{15}.5^{16}}\)=3

Answer 3

\(\dfrac{8^{10}.15^{16}}{12^{15}.25^8}\)

\(=\dfrac{\left(2.2.2\right)^{10}.\left(3.5\right)^{16}}{\left(3.2.2\right)^{15}.\left(5.5\right)^8}\)

\(=\dfrac{2^{10}.2^{10}.2^{10}.3^{16}.5^{16}}{3^{15}.2^{15}.2^{15}.5^8.5^8}\)

\(=\dfrac{3}{1}\)

\(=3\)

Answer 4

\(\dfrac{8^{10}.15^{16}}{12^{15}.25^8}=\dfrac{2^{3^{10}}.5^{16}.3^{16}}{3^{15}.4^{15}.5^{2^8}}=\dfrac{2^{30}.5^{16}.3^{16}}{3^{15}.2^{2^{15}}.5^{16}}=\dfrac{2^{30}.5^{16}.3^{16}}{3^{15}.2^{30}.5^{16}}=3\)