Question

apply the zero power rule to create an equivalent expression to

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since any number raised to the power of 0 equals 1, we can simplify (-40)^0 to 1. Additionally, 32^0 can also be simplified to 1.

Therefore,

(-40)^0 + 1/2(11 - 32^0) = 1 + 1/2(11 - 1)
= 1 + 1/2(10)
= 1 + 5
= 6

Thus, the equivalent expression is 6.

Answer 2

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

To apply the zero power rule and simplify the expression (-40)^0+1/2(11-32^0), let's break it down step by step:

Step 1: According to the zero power rule, any number (except zero) raised to the power of zero is equal to 1. So, we can simplify (-40)^0 to 1.

Step 2: Now, we substitute (-40)^0 with 1 in the expression:
1 + 1/2(11 - 32^0)

Step 3: Next, we simplify 32^0 using the zero power rule. Again, any number (except zero) raised to the power of zero is 1.
1 + 1/2(11 - 1)

Step 4: Simplify the expression inside the parentheses:
1 + 1/2(10)

Step 5: Multiply 1/2 by 10:
1 + 5

Step 6: Add the numbers together:
1 + 5 = 6

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

Answer 3

[AI-generated answer — Explain Bot]

To apply the zero power rule and create an equivalent expression for (-40)^0 + 1/2(11 - 32^0), let's break down the steps:

Step 1: Simplify (-40)^0
Any number (except 0) raised to the power of 0 is always equal to 1. Therefore, (-40)^0 is equal to 1.

Now, let's substitute that value into the expression:

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

Step 2: Simplify the exponent 32^0
Any number (except 0) raised to the power of 0 is also always equal to 1. Therefore, 32^0 is equal to 1.

Now, let's substitute that value into the expression:

1 + 1/2(11 - 1) = 1 + 1/2(10)

Step 3: Simplify the expression inside the parentheses
11 - 1 simplifies to 10.

Now, let's substitute that value into the expression:

1 + 1/2(10) = 1 + 1/2 * 10

Step 4: Simplify the multiplication
1/2 multiplied by 10 is equal to 5.

Now, let's substitute that value into the expression:

1 + 5 = 6

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