Question

[Tran thi khanh ngoc]

so sánh:

\(\frac{\left(5^4-5^3\right)^3}{125^5}\) và\(\frac{64}{25^3}\)

Answer 1

[Trà My]

Ta có:

\(\frac{\left(5^4-5^3\right)^3}{125^5}=\frac{\left(5^3\right)^3.\left(5-1\right)^3}{\left(5^3\right)^5}=\frac{5^9.4^3}{5^{15}}=\frac{4^3}{5^6}=\frac{64}{5^6}\)  (1)

\(\frac{64}{25^3}=\frac{64}{\left(5^2\right)^3}=\frac{64}{5^6}\)  (2)

Từ (1) và (2) =>\(\frac{\left(5^4-5^3\right)^3}{125^5}=\frac{64}{25^3}\)

Answer 2

[Tran thi khanh ngoc]

Bằng nhau