Final answer:
The expression (53)^-2 is equivalent to 1/(53)^2, which simplifies to 1/2809.
Step-by-step explanation:
The expression (53)^-2 can be understood by remembering that a negative exponent represents the reciprocal of the base raised to the absolute value of that exponent. Instead of multiplication, we think of it as an indication to take the reciprocal of the number (53 in this case) and then raise it to the power of 2.
Hence, (53)^-2 is equivalent to 1/(53)^2. When we carry out this operation, we get 1/(53 x 53), which can be simplified to 1/2809, since 53 squared equals 2809.