Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+3/2(8−27^0) .
To apply the Zero Power Rule, we need to remember that any non-zero number raised to the power of zero is equal to 1.
In the expression 9⋅(−33)0+3/2(8−27^0), we have (-33)^0 and 27^0.
Using the Zero Power Rule, we can simplify these terms as:
(-33)^0 = 1
27^0 = 1
So the expression becomes:
9⋅1 + 3/2(8−1)
Simplifying further:
9 + 3/2(7)
Now we can evaluate the multiplication:
9 + 21/2
To add these fractions, we need to have a common denominator. We can convert 9 to a fraction by multiplying it by 2/2:
18/2 + 21/2
Adding the fractions together:
(18 + 21)/2
Simplifying the numerator:
39/2
Therefore, the equivalent expression using the Zero Power Rule is 39/2.
To apply the Zero Power Rule, we know that any number (except zero) raised to the power of zero is equal to 1. Therefore, we can simplify the expression as follows:
9⋅(−33)0 + 3/2(8−27^0)
= 9⋅1 + 3/2(8−1)
= 9 + 3/2(7)
Next, we can simplify the expression further by multiplying the fraction with the value in the parentheses:
= 9 + (3/2) * 7
= 9 + 21/2
Now, we need to add the integers and simplify the expression:
= 9 + 10.5
= 19.5
Therefore, the equivalent expression of 9⋅(−33)0 + 3/2(8−27^0) after applying the Zero Power Rule is 19.5.
To apply the Zero Power Rule in order to create an equivalent expression to the given one, we need to understand the Zero Power Rule first.
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. In other words, any number (except 0) raised to the power of 0 is always 1.
Now let's break down the given expression step by step and apply the Zero Power Rule where required:
9⋅(−33)0 + 3/2(8 − 27^0)
First, we simplify the expression within the parentheses:
(-33)^0 = 1, since any number (except 0) raised to the power of 0 is always 1.
So the expression becomes:
9⋅(−1) + 3/2(8 − 1)
Now let's simplify further:
9 * -1 = -9
8 - 1 = 7
3/2 * 7 = 21/2
Therefore, the simplified expression is:
-9 + 21/2
To get a common denominator, multiply the whole number (-9) by 2/2:
-9 * (2/2) = -18/2
Now we can add the fractions:
-18/2 + 21/2 = 3/2
Thus, the equivalent expression to 9⋅(−33)0 + 3/2(8−27^0) is 3/2.