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))=*+(3)/(2)(-)
The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. Therefore, (-33)^0 is equal to 1.
Using the Zero Power Rule, the expression 9*(-33)^(0) simplifies to 9*1, which is equal to 9.
The expression (8-27^(0)) also simplifies using the Zero Power Rule. Since 27^0 is equal to 1, the expression becomes (8-1), which equals 7.
Plugging these simplified results back into the original expression, we get:
9 + (3)/(2)(7).
This cannot be further simplified without additional information.
To apply the Zero Power Rule, we need to remember that any number (except zero) raised to the power of zero is equal to 1.
Let's apply the Zero Power Rule to the given expression:
9 * (-33)^(0) + (3)/(2)(8 - 27^(0))
Since (-33)^(0) equals 1, we can simplify it to:
9 * 1 + (3)/(2)(8 - 1)
Multiplying 9 by 1 gives 9, so the expression becomes:
9 + (3)/(2)(8 - 1).
Now, we simplify the expression inside the parentheses:
9 + (3)/(2)(7)
Multiplying 2 by 7 gives 14, so the expression becomes:
9 + (3)/(14).
Therefore, the equivalent expression is:
9 + (3)/(14).
To apply the Zero Power Rule, we need to raise any number (except zero) to the power of 0, which always results in 1.
Let's break down the given expression step by step:
9*(-33)^(0) + (3)/(2)(8-27^(0))
Step 1: Using the Zero Power Rule, replace (-33)^(0) with 1:
9*1 + (3)/(2)(8-1)
Step 2: Simplify the expression inside the parentheses:
9 + (3)/(2)(7)
Step 3: Multiply (3)/(2) by (7):
9 + (3/2)(7)
Step 4: Multiply 3/2 by 7:
9 + 21/2
So, the equivalent expression is:
9 + 21/2