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) What are the answer to fill in the box
According to the Zero Power Rule, any non-zero number raised to the power of 0 equals 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 = 9 + 10.5
Hence, the simplified expression is 19.5.
So, the answer to fill in the box is 19.5.
The Zero Power Rule states that any number (except for zero) raised to the power of zero is equal to 1. Using this rule, we can simplify the expression:
9 * (-33)^0 + 3/2 * (8 - 27^0)
Since (-33)^0 is equal to 1 and 27^0 is also equal to 1, the expression becomes:
9 * 1 + 3/2 * (8 - 1)
The simplified expression is:
9 + 3/2 * 7
To further simplify, we multiply the fraction by the whole number:
9 + (3 * 7) / 2
Now we calculate the multiplication and division:
9 + 21/2
To add these values, we need to find a common denominator:
(18/2 + 21/2) / 2
Adding the numerators:
(39/2) / 2
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(39/2) * (1/2)
Multiplying the numerators and denominators:
39/4
Therefore, the simplified equivalent expression is:
9 + 39/4
The answer to fill in the boxes will be:
Box = 9
Box = 39/4
To apply the Zero Power Rule, we need to recall that any number raised to the power of zero equals 1.
Let's break down the given expression and apply the Zero Power Rule:
9 * (-33) ^ 0 + 3/2 * (8 - 27 ^ 0)
Since (-33) ^ 0 equals 1, we can substitute the first term:
9 * 1 + 3/2 * (8 - 27 ^ 0)
Now we need to simplify the second term, which involves 27 ^ 0. Again, applying the Zero Power Rule, 27 ^ 0 equals 1:
9 * 1 + 3/2 * (8 - 1)
Simplifying further:
9 + 3/2 * 7
Now we can multiply 3/2 by 7:
9 + 21/2
To add these fractions, we need a common denominator, which is 2. Let's convert 9 to have a denominator of 2:
18/2 + 21/2 = (18 + 21) / 2 = 39/2
Therefore, the equivalent expression to 9 * (-33) ^ 0 + 3/2 * (8 - 27 ^ 0) is 39/2.