Apply the Zero Power Rule to create an equivalent expression to 9 * (-33) ^0 + 3/2 (8-27^0) = _ * _ + 3/2 ( _ - _)
Applying the Zero Power Rule, any number (except zero) raised to the power of zero is equal to 1.
9 * (-33)^0 + 3/2 (8 - 27^0)
Simplifying:
9 * 1 + 3/2 (8 - 1)
9 + 3/2 (7)
Now, let's simplify the expression further:
9 + (3/2) * 7
9 + (3/2) * 7 can be rewritten as:
9 + (3/2) * 7 = 9 + (3 * 7) / 2.
So the equivalent expression is:
_ * _ + 3/2 (_ - _) = 9 + (3 * 7) / 2.
To apply the Zero Power Rule, we need to remember that any number (except zero) raised to the power of zero equals one.
Let's break down the given expression step by step:
1. Evaluate (-33)^0:
Since any number (except zero) raised to the power of zero is one, (-33)^0 will also equal one.
The expression becomes: 9 * 1 + 3/2 (8 - 1)
2. Simplify the expression within parentheses:
8 - 1 = 7
The expression becomes: 9 * 1 + 3/2 * 7
3. Multiply and divide:
9 * 1 = 9
3/2 * 7 = 21/2 or 10.5
The expression simplifies to: 9 + 10.5
Therefore, the final equivalent expression is: 9 + 10.5.
To apply the Zero Power Rule, we need to understand that any number (except 0) raised to the power of 0 is equal to 1. In this case, we have the expression:
9 * (-33) ^0 + 3/2 (8-27^0)
Step 1: Simplify the exponent of 0.
Since any number raised to the power of 0 is 1, we can rewrite (-33) ^0 as 1:
9 * 1 + 3/2 (8-1)
Step 2: Simplify the expression within the parentheses.
8-1 equals 7. So, we substitute this value into the expression:
9 * 1 + 3/2 (7)
Step 3: Simplify the multiplications and additions.
Multiplying 9 by 1 gives us 9.
Multiplying 3/2 by 7 gives us 21/2, or 10.5.
The final simplified equivalent expression is:
9 + 10.5
Therefore, the answer is 9 + 10.5, which equals 19.5.