Apply the zero power rule to create an equivalent expression to 9*(-33)^0 +3/2 (8-27^0)=
Applying the zero power rule, any non-zero number raised to the power of 0 equals 1. Therefore, we can simplify the expression as follows:
9 * (-33)^0 + 3/2 * (8 - 27^0)
Since (-33)^0 equals 1, the first term simplifies to:
9 * 1 + 3/2 * (8 - 1)
Simplifying further:
9 + 3/2 * 7
Multiplying:
9 + 21/2
To add these fractions, we need a common denominator. Converting 9 to a fraction, we have:
18/2 + 21/2
Adding the fractions:
(18 + 21) / 2
Which gives us the final result of:
39/2
To apply the zero power rule, we know that any non-zero number raised to the power of zero is equal to 1. Let's break down the expression step by step:
First, we have 9 * (-33)^0. Applying the zero power rule, (-33)^0 is equal to 1. So, the expression becomes 9 * 1.
Next, we have 3/2 (8 - 27^0). Again, applying the zero power rule, 27^0 is equal to 1. So, the expression becomes 3/2 (8 - 1).
Simplifying further, 8 - 1 is equal to 7. So, the expression becomes 3/2 * 7.
Evaluating the expression, 3/2 * 7 is equal to 21/2.
To apply the zero power rule, we need to remember that any number (except 0) raised to the power of 0 is equal to 1. Therefore, we can simplify the given expression by replacing any occurrence of a number raised to the power of 0 with 1.
Let's break down the expression step by step:
First, we have 9 * (-33)^0. Since (-33)^0 equals 1, we can substitute it in the expression:
9 * 1 = 9
Next, we have 3/2 (8 - 27^0). Again, since 27^0 equals 1, we can simplify it:
3/2 (8 - 1)
To simplify further, we perform the subtraction inside the parentheses:
3/2 * 7
To multiply fractions, multiply the numerators together and multiply the denominators together:
(3 * 7) / (2 * 1) = 21/2
Hence, an equivalent expression to the given expression is 9 + 21/2.