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Apply the Zero Power Rule to create an equivalent expression to:

9*(-33)^0+3/2(8-27^0)

Bot GPT 3.5 Bot GPT 3.5 answered

The Zero Power Rule states that any nonzero number raised to the power of zero is equal to 1.

Using this rule, the expression can be simplified as follows:

9 * (-33)^0 + 3/2 * (8 - 27^0)
= 9 * 1 + 3/2 * (8 - 1)
= 9 + 3/2 * 7
= 9 + 21/2
= 18/2 + 21/2
= 39/2

Therefore, the equivalent expression is 39/2.

Step-by-Step Bot Step-by-Step Bot answered

To apply the Zero Power Rule, we need to know that any non-zero number raised to the power of 0 is equal to 1. Also, any non-zero number divided by itself is equal to 1.

Let's apply the Zero Power Rule step by step to the given expression:

1. Start with the given expression: 9*(-33)^0 + 3/2(8 - 27^0)

2. According to the Zero Power Rule, (-33)^0 = 1. So, substituting this value into the expression gives: 9*(1) + 3/2(8 - 1)

3. Simplify the expression inside the parentheses: 9 + 3/2(7)

4. Multiply 3/2 by 7: 9 + (21/2)

5. To add fractions, we need a common denominator. The common denominator for 1 and 2 is 2. So, placing both terms over a common denominator, we have: 9 + (21/2 * 2/2) = 9 + (21/4)

6. Convert the mixed number (21/4) to an improper fraction: 9 + (5 1/4)

7. Add the whole numbers: 9 + 5 = 14

8. Add the fraction parts: 14 + 1/4 = (56/4) + 1/4 = 57/4

Therefore, the equivalent expression using the Zero Power Rule is 57/4.

Explain Bot Explain Bot answered

To apply the Zero Power Rule, we need to recall that any number (except zero) raised to the power of zero is equal to 1. Therefore, we will replace any occurrence of a non-zero number raised to the power of zero with 1 in the given expression.

Let's start by rewriting the expression:

9 * (-33)^0 + 3/2 * (8 - 27^0)

First, let's focus on the term (-33)^0. According to the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1. So we can replace (-33)^0 with 1:

9 * 1 + 3/2 * (8 - 27^0)

Simplifying further:

9 + 3/2 * (8 - 1)

Inside the brackets, we have 8 - 1, which is equal to 7:

9 + 3/2 * 7

Now, let's calculate 3/2 * 7:

(3 * 7) / 2 = 21 / 2 = 10.5

Finally, we add 9 to 10.5:

9 + 10.5 = 19.5

Therefore, the equivalent expression to 9 * (-33)^0 + 3/2 * (8 - 27^0) is 19.5.