Question

\(\left(\dfrac{3}{5}\right)^{10}\)x\(\left(\dfrac{5}{3}\right)^{10}\)-\(\dfrac{13^4}{39^4}\) + 2014⁰

Answer 1

Ta có: \(\left(\dfrac{3}{5}\right)^{10}\cdot\left(\dfrac{5}{3}\right)^{10}-\dfrac{13^4}{39^4}+2014^0\)

\(=\left(\dfrac{3}{5}\cdot\dfrac{5}{3}\right)^{10}-\left(\dfrac{13}{39}\right)^4+1\)

\(=1^{10}-\left(\dfrac{1}{3}\right)^4+1=2-\dfrac{1}{81}=\dfrac{161}{81}\)