Apply the Zero Power Rule to create an equivalent expression to 9 * (-33)^0 = 3/2 (8-27^0)
According to the Zero Power Rule, any non-zero number raised to the power of zero is equal to 1. Therefore, we can simplify the given expression as follows:
9 * (-33)^0 = 3/2 (8-27^0)
9 * 1 = 3/2 (8-1)
9 = 3/2 * 7
9 = 21/2
So, the equivalent expression is 9 = 21/2.
To apply the Zero Power Rule, we need to understand that any non-zero number raised to the power of zero is equal to 1. Therefore, the expression can be simplified as follows:
9 * (-33)^0 = 3/2 * (8 - 27^0)
Since (-33)^0 equals 1, we can rewrite the expression:
9 * 1 = 3/2 * (8 - 1)
Now we simplify:
9 = 3/2 * 7
To find the simplified form, we multiply 3/2 by 7:
9 = 21/2
So, the equivalent expression is 9 = 21/2.
To apply the Zero Power Rule, we need to understand what the rule states. The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1.
Let's break down the expression step by step:
1. Start with the expression 9 * (-33)^0.
2. According to the Zero Power Rule, any number raised to the power of zero is equal to 1. Therefore, we have 9 * 1.
3. Simplifying further, 9 * 1 is just 9.
So, the equivalent expression to 9 * (-33)^0 is simply 9.
Now, let's move on to the next part of the expression, 3/2 (8 - 27^0):
1. Start with the expression 3/2 (8 - 27^0).
2. Again, applying the Zero Power Rule, 27^0 is equal to 1. Therefore, we have 3/2 (8 - 1).
3. Simplifying further, 8 - 1 is equal to 7. So, we have 3/2 * 7.
4. Multiplying 3/2 by 7, we get (3 * 7) / 2 = 21/2.
Therefore, the equivalent expression to 3/2 (8 - 27^0) is 21/2.
In summary, we can rewrite the original expression 9 * (-33)^0 = 3/2 (8 - 27^0) as simply 9 = 21/2.