Apply the Zero Power Rule to create an equivalent expression to 9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0); 9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0) = Box* Box+ 3 2 ( Box- Box)
Applying the Zero Power Rule, any nonzero number raised to the power of zero is equal to 1. Therefore, (-33)^0 is equal to 1. Similarly, 27^0 is also equal to 1. Rewriting the expression with these values:
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 know that any number (except zero) raised to the power of zero is equal to 1.
In the given expression, we have:
9 * (-33)^0 + 3/2 * (8 - 27^0)
Since (-33)^0 is equal to 1, we can simplify the expression as:
9 * 1 + 3/2 * (8 - 1)
Multiplying and subtracting, we get:
9 + 3/2 * 7
To simplify further, multiply 3/2 by 7:
9 + 21/2
Now, we need to find a common denominator to add the fractions:
9 + (21/2) * (2/2)
This gives us:
9 + 42/2
Simplifying further, we have:
9 + 21
Adding, we get:
30
Therefore, the equivalent expression is 30.
To apply the Zero Power Rule, we need to recognize that any number (except zero) raised to the power of zero is equal to 1.
Now, let's break down the given expression and apply the Zero Power Rule:
9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0)
First, we have (-33) ^ 0, which can be simplified using the Zero Power Rule. Since -33 is not zero, we can rewrite it as 1:
= 9 * 1 + 3/2 * (8 - 1)
Next, we simplify the expression within the parentheses:
= 9 * 1 + 3/2 * 7
Now, let's simplify the multiplication and addition:
= 9 + (3/2) * 7
= 9 + (21/2)
To add these fractions, we need a common denominator, which is 2. We can rewrite 9 as 18/2:
= 18/2 + 21/2
Now, we can add the fractions:
= (18 + 21) / 2
= 39/2
Therefore, the equivalent expression to 9 * (- 33) ^ 0 + 3/2 * (8 - 27 ^ 0) is 39/2.