Apply the zero power rule to create an equivalent expression to (-40)^0 + 1/2(11-32^0)

Answer 1

By applying the zero power rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify the expression as follows:

(-40)^0 + 1/2(11-32^0)

Since (-40)^0 equals 1, we can replace it in the expression:

1 + 1/2(11-32^0)

Next, we simplify 32^0. Any non-zero number raised to the power of 0 is equal to 1:

1 + 1/2(11-1)

1 + 1/2(10)

Now, we can evaluate the expression inside the parentheses:

1 + 1/2(10)

1 + 1/2 * 10

1 + 5

Finally, we add the numbers:

1 + 5 = 6

Therefore, the equivalent expression is 6.