Question

[ngo mai trang]

tính

\(\left(\frac{1}{25}\right)^{\frac{1}{3}log^{10}_5}\)

Answer 1

[nguyen thi khanh hoa]

ta có \(\left(\frac{1}{25}\right)^{\frac{1}{3}log^{10}_5}=\left(\frac{1}{5}\right)^{\frac{2}{3}log^{10}_5}=\left(\left(\frac{1}{5}\right)^{log^{10}_5}\right)^{\frac{2}{3}}=\left(5^{log^{10}_5}\right)^{-\frac{2}{3}}=10^{-\frac{2}{3}}\)