Question

Tính

a)\(\dfrac{9^8.5^6}{3^7.27^3.25^4}\)

b)\(\dfrac{5^{20}.6^{18}}{15^{20}.4^{10}}\)

c)\(\left(\dfrac{1}{3}\right)^{50}.9^{25}-\left(\dfrac{2}{3}\right)^{100}:\left(\dfrac{8}{27}\right)^{33}\)

Answer 1

a: \(=\dfrac{3^{16}\cdot5^6}{3^{16}\cdot5^8}=\dfrac{1}{25}\)

b: \(=\dfrac{5^{20}\cdot2^{18}\cdot3^{18}}{5^{20}\cdot3^{20}\cdot2^{20}}=\dfrac{1}{36}\)

c: \(=1-\dfrac{2}{3}=\dfrac{1}{3}\)