2^-2 x 2^-3

To simplify the expression 2^-2 x 2^-3, we can use the rule of exponentiation which states that when multiplying numbers with the same base, you add their exponents.

2^-2 x 2^-3 = 2^(-2 + -3)

Simplifying further:

2^(-2 + -3) = 2^(-5)

Therefore, 2^-2 x 2^-3 equals 2^(-5) or simply 1/32.