Question

Determine whether the value of each power is positive or negative.

a) (-10)5
b) Positive
c) (-3)4
d) (-2°
e) (-1)²
f) (-6)
g) (-4)

Answer 1

To determine whether the value of each power is positive or negative, follow the guidelines for different cases of numbers and powers. Apply these guidelines to evaluate each power, taking into account odd, even, and zero powers.

Step-by-step explanation:

To determine whether the value of each power is positive or negative, we can use the following guidelines:

1. When a positive number is raised to a positive power, the result is positive.
2. When a negative number is raised to an even positive power, the result is positive.
3. When a negative number is raised to an odd positive power, the result is negative.

Using these guidelines, we can evaluate the given powers:

1. (-10)^5 = -10 * -10 * -10 * -10 * -10 = -100,000 (negative)
2. Positive (since it is not specified)
3. (-3)^4 = -3 * -3 * -3 * -3 = 81 (positive)
4. -2^0 = 1 (positive)
5. (-1)^2 = 1 (positive)
6. (-6) = -6 (negative)
7. (-4) = -4 (negative)