Examples with solutions for Powers of Negative Numbers: Applying the formula

Exercise #1

(8)2= (-8)^2=

Video Solution

Step-by-Step Solution

When we have a negative number raised to a power, the location of the minus sign is very important.

If the minus sign is inside or outside the parentheses, the result of the exercise can be completely different.

 

When the minus sign is inside the parentheses, our exercise will look like this:

(-8)*(-8)=

Since we know that minus times minus is actually plus, the result will be positive:

(-8)*(-8)=64

 

Answer

64 64

Exercise #2

(2)2= -(2)^2=

Video Solution

Answer

4 -4

Exercise #3

(2)7= (-2)^7=

Video Solution

Answer

128 -128

Exercise #4

(7)2= -(7)^2=

Video Solution

Answer

49 -49

Exercise #5

(6)2= -(-6)^2=

Video Solution

Answer

36 -36

Exercise #6

(2)3= -(-2)^3=

Video Solution

Answer

8 8

Exercise #7

(1)100= -(-1)^{100}=

Video Solution

Answer

1 -1

Exercise #8

(1)99= (-1)^{99}=

Video Solution

Answer

1 -1

Exercise #9

62= -6^2=

Video Solution

Answer

36 -36

Exercise #10

(1)80= -(-1)^{80}=

Video Solution

Answer

1 -1

Exercise #11

(3)4= (-3)^4=

Video Solution

Answer

81 81

Exercise #12

((2)2)2= (-(2)^2)^2=

Video Solution

Answer

16 16

Exercise #13

((3)2)2= -(-(3)^2)^2=

Video Solution

Answer

81 -81

Exercise #14

((2)2)2= ((-2)^2)^2=

Video Solution

Answer

16 16

Exercise #15

(5)3= -(-5)^3=

Video Solution

Answer

125 125