Question

Evaluate the expression. $$\left(\frac{2}{5}\right)^{2}$$

Short answer

The evaluation of the expression \( (\frac{2}{5})^{2} \) is \(\frac{4}{25}\).

Step-by-step solution

Identify the components of the expression

This is a power operation applied on a fraction, where the base is \(\frac{2}{5}\) and the exponent is 2.

Determine the power of the numerator and the denominator

To calculate the power of a fraction, take the power of the numerator and the denominator separately. So, \((\frac{2}{5})^{2}\) will be equal to \((2^{2})/(5^{2})\).

Compute the exponent operation

Calculate the values of \(2^{2}\) and \(5^{2}\) to get 4 and 25 respectively.

Write the final answer

The result is the fraction \(\frac{4}{25}\).