Apply the Zero Power Rule to create an equivalent expression to 9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0) (2 points)
9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0) = Box* Box+ 3 2 ( Box- Box)
9 * (-33)^0 + 3/2 * (8 - 27^0) = 9 * 1 + 3/2 * (8 - 1) = 9 + 3/2 * 7 = 9 + 21/2 = 9 + 10.5 = 19.5
To apply the Zero Power Rule, we need to understand what it means.
The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. So, any expression with a non-zero base raised to the power of zero can be simplified to 1.
Let's apply the Zero Power Rule to the given expression step by step:
1. Start with the expression: 9 * (-33)^0 + 3/2 * (8 - 27^0)
2. According to the Zero Power Rule, (-33)^0 simplifies to 1:
9 * 1 + 3/2 * (8 - 27^0)
3. Simplify 27^0 using the Zero Power Rule. Since 27 is a non-zero number, 27^0 is equal to 1:
9 * 1 + 3/2 * (8 - 1)
4. Simplify the expression inside the parentheses:
9 * 1 + 3/2 * 7
5. Multiply and divide as necessary:
9 + (3/2) * 7
6. Multiply the fraction and the number:
9 + (21/2)
7. Rewrite the mixed number as an improper fraction:
9 + 21/2 = 9 + (2*21)/(2) = 9 + 42/2 = 9 + 21
8. Add the numbers:
9 + 21 = 30
So, the equivalent expression after applying the Zero Power Rule is 30.
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:
9 * (-33)^0 + 3/2 * (8 - 27^0) = 9 * 1 + 3/2 * (8 - 1)
= 9 + 3/2 * 7
Thus, the equivalent expression is: 9 + 3/2 * 7.