Question

Tính

a) \(\frac{45^{10}.5^{10}}{75^{10}}\)

b) \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

Answer 1

\(\frac{45^{10}.5^{10}}{75^{10}}=\frac{\left(45.5\right)^{10}}{75^{10}}=\frac{225^{10}}{75^{10}}=\left(\frac{225}{75}\right)^{10}=3^{10}\)

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4.2\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=\frac{32}{0,4}=80\)

Answer 2

\(\frac{45^{10}.5^{10}}{75^{10}}=\frac{\left(45.5\right)^{10}}{75^{10}}=\left(\frac{225}{75}\right)^{10}=3^{10}\)