Question

apply the zero power rule to create an equivalent expression to

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To apply the zero power rule, we know that any number (except 0) 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)
= 1 + 1/2(11 - 1)
= 1 + 1/2(10)
= 1 + 1/2 * 10
= 1 + 5
= 6

Therefore, the equivalent expression is 6.

Answer 2

[AI-generated answer — Explain Bot]

To apply the zero power rule, we need to remember that any number (except zero) raised to the power of zero is equal to 1. Let's break down the given expression and apply the rule step by step.

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

Step 1: Simplify exponents with zero power
(-40)^0 becomes 1, and 32^0 becomes 1.

Expression: 1 + 1/2(11 - 1)

Step 2: Simplify within parentheses
11 - 1 equals 10.

Expression: 1 + 1/2(10)

Step 3: Simplify the fraction
1/2 times 10 equals 5.

Expression: 1 + 5

Step 4: Add the numbers
1 + 5 equals 6.

Therefore, the equivalent expression to (-40)^0 + 1/2(11 - 32^0) is 6.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To apply the zero power rule, we need to remember that any number (except zero) raised to the power of zero equals 1.

Let's simplify the expression step by step:

1. Starting with the expression (-40)^0, we know that any number raised to the power of zero equals 1. So, (-40)^0 = 1.

2. Next, let's simplify the expression 32^0. Using the zero power rule, we know that any number (except zero) raised to the power of zero equals 1. Therefore, 32^0 = 1.

3. Now, our expression becomes:
1 + 1/2(11-1)

4. Simplifying further, we subtract 1 from 11:
1 + 1/2(10)

5. Next, we multiply 1/2 by 10:
1 + (1/2) * 10

6. Multiplying 1/2 by 10, we get:
1 + 5

7. Finally, adding 1 and 5 together, we get our equivalent expression:
6