Answer:
To determine if the value of each expression is positive or negative without simplifying, we can use the following rules:
1. If the base number is positive and the exponent is even, the value is positive.
2. If the base number is positive and the exponent is odd, the value is negative.
3. If the base number is negative and the exponent is even, the value is positive.
4. If the base number is negative and the exponent is odd, the value is negative.
Now let's apply these rules to each expression:
9. (-3)²:
The base number is negative (-3) and the exponent is even (2), so the value is positive.
11. (-4):
The base number is negative (-4), so the value is negative.
13. (-5):
The base number is negative (-5), so the value is negative.
10. (-5):
The base number is negative (-5), so the value is negative.
12. (-3):
The base number is negative (-3), so the value is negative.
14. - (2):
The base number is negative (-2), so the value is negative.
In summary:
9. (-3)²: Positive
11. (-4): Negative
13. (-5): Negative
10. (-5): Negative
12. (-3): Negative
14. - (2): Negative
Explanation:
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