Final answer:
To raise the product (-2•5) to the power (-3), we find the product of -2 and 5, then raise it to the power of -3. The result is -1/1000.
Step-by-step explanation:
To raise the product (-2•5) to the power (-3), we follow the rules of exponentiation. First, we find the product of -2 and 5, which is -10. Next, we raise -10 to the power of -3. When we raise a negative number to a negative power, the result is the reciprocal of that number raised to the positive power. So, (-10)^-3 is equal to 1/(-10)^3.
To simplify further, we evaluate (-10)^3, which is equal to (-10) • (-10) • (-10) = -1000. Therefore, (-10)^-3 = 1/(-1000) = -1/1000.