Question

Rút gọn

a) \(\frac{16^5.21^6.45^3.30^2}{18^5.24^6.48^3.36^2}\)

b) \(\frac{6^9.30^6.8^7.14^8}{9^7.24^6.10^7.7^9}\)

Answer 1

a)

\(\frac{16^5.21^6.45^3.30^2}{18^5.24^6.48^3.36^2}=\frac{2^{20}.3^6.7^6.5^3.3^6.3^2.2^2.5^2}{2^5.3^{10}.3^6.2^{18}.3^3.2^{12}.2^4.3^4}=\frac{2^{22}.3^{14}.7^6.5^5}{2^{39}.3^{23}}=\frac{7^6.5^5}{2^{17}.3^{11}}\)

b)

\(\frac{6^9.30^6.8^7.14^8}{9^7.24^6.10^7.7^9}=\frac{3^9.2^9.3^6.10^6.2^{21}.7^8.2^8}{3^{14}.3^6.2^{18}.10^7.7^9.}=\frac{3^{15}.2^{38}}{3^{20}.2^{18}.10.7}=\frac{2^{20}}{3^5.2.5.7}=\frac{2^{19}}{3^5.35}\)