Final answer:
The equation log_4(1/16) = -2 in exponential form is expressed as 4^(-2) = 1/16.
Step-by-step explanation:
To express the equation log4((1)/(16))=-2 in exponential form, we need to understand that the logarithm is the inverse operation of exponentiation. To express the equation log_4(1/16) = -2 in exponential form, we need to use the fact that the logarithm and the exponential function are inverses of each other. The base of the logarithm becomes the base of the exponent, the right side of the equation becomes the exponent, and the number inside the logarithm is the result. Thus, we can rewrite the equation as 4^(-2) = 1/16.