Question

Rut gon

A, 125/1000

B, 3600-75/4800-175

C, 3^10×(-5)^21 / (-5)^20×3^12

Answer 1

Rút gọn

A, \(\dfrac{125}{1000}\)

\(\dfrac{125}{1000}=\dfrac{125:125}{1000:125}=\dfrac{1}{8}\)

B, \(\dfrac{3600-75}{4800-175}\)

\(\dfrac{3600-75}{4800-175}=\dfrac{3525}{4625}\)

\(\Rightarrow\dfrac{3525}{4625}=\dfrac{3525:25}{4625:25}=\dfrac{141}{185}\)

C, \(\dfrac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}\)

\(\dfrac{3^{10}.\left(-5\right)^{21}}{\left(-5\right)^{20}.3^{12}}=\dfrac{3^{10}.\left(-5\right)^{20}.\left(-5\right)}{\left(-5\right)^{20}.3^{10}.3^2}=\dfrac{\left(-5\right)}{3^2}=\dfrac{-5}{9}\)