Final answer:
To evaluate the numerical expression (2/5)^-2, we need to follow the rules of exponentiation. The result is 25/4.
Step-by-step explanation:
To evaluate the numerical expression (2/5)^-2, we need to follow the rules of exponentiation.
When a negative exponent is applied to a fraction, the fraction is flipped and the exponent becomes positive. So, (2/5)^-2 becomes (5/2)^2.
To evaluate this, we square the numerator and denominator separately: 5^2/2^2. This simplifies to 25/4.