Question

Hơi mờ nhưng cố gắng giúp em nha m.n

Answer 1

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

\(=\dfrac{\left(2.4\right)^{10}.\left(3.5\right)^{16}}{\left(3.4\right)^{15}.\left(5^2\right)^8}\)

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

\(=\dfrac{2^{10}.3}{4^5}\)

\(=\dfrac{2^{10}.3}{2^{10}}=3\)

Answer 2

\(\dfrac{8^{10}.15^6}{12^{15}.25^8}\)

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

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

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

\(=3\)