Put the value of each of these numbers in order from least value to greatest value.
-4 to the power of -2
-8 to the power of 0
One half
(-3) to the power of 0
-5 + 5
3 to the power of -1.
To put these numbers in order from least value to greatest value, we need to compare their values.
First, let's calculate the value of each number:
-4 to the power of -2 = (-1/4)^2 = 1/16
-8 to the power of 0 = 1 (any number raised to the power of 0 is equal to 1)
One half = 1/2
(-3) to the power of 0 = 1 (same as above, any number raised to the power of 0 is equal to 1)
-5 + 5 = 0
3 to the power of -1 = 1/3
Now let's put them in order from least value to greatest value:
-4 to the power of -2 = 1/16
3 to the power of -1 = 1/3
-5 + 5 = 0
One half = 1/2
(-3) to the power of 0 = 1
-8 to the power of 0 = 1
The order is: 1/16, 1/3, 0, 1/2, 1, 1.