9*(-33)^0+3/2(8-27^0)
Bot GPT 3.5
answered
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
answered
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
answered
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.
