Question

25 x \(\left(-\dfrac{1}{5}\right)^2\) + \(\dfrac{1}{5}\) - 9 x \(\left(-\dfrac{1}{9}\right)^2\)+\(\dfrac{1^{20}}{9}\)

 

Answer 1

\(25\left(-\dfrac{1}{5}\right)^2+\dfrac{1}{5}-9\cdot\left(-\dfrac{1}{9}\right)^2+\dfrac{1^{20}}{9}\)

\(=25\cdot\dfrac{1}{25}+\dfrac{1}{5}-9\cdot\dfrac{1}{81}+\dfrac{1}{9}\)

\(=1+\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}=1+\dfrac{1}{5}=\dfrac{6}{5}\)