Final answer:
When you multiply (-1) to the power of 27, it equals -1 because the product of an odd number of negative factors is negative.
Step-by-step explanation:
When you multiply the expression (-1) to the power of 27, you're dealing with exponents and the rules that govern them. An important rule to remember is that any base (excluding zero) raised to an odd power will retain the sign of the base. Applying this rule, since 27 is an odd number, (-1)27 equals -1. To elaborate, multiplying -1 by itself 27 times results in -1, as the product of an odd number of negative factors will always be negative. This concept connects to rules of exponents such as multiplying powers with the same base by adding their exponents, or understanding that a negative exponent signifies division, as in x-n = 1/xn.