Apply the zero power rule to create an equivalent expression to 9 • (-33)^0 + 3/2(8 - 27^0)
According to the zero power rule, any number 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)
= 9 • 1 + 3/2(8 - 1)
= 9 + 3/2(7)
= 9 + (3/2)(7)
= 9 + 21/2
= 9 + 10.5
= 19.5
So, the equivalent expression is 19.5.
To apply the zero power rule, we need to recall that any number (except zero) raised to the power of zero is equal to 1. So, we can rewrite the expression 9 • (-33)^0 as 9 • 1.
Similarly, we know that any number (except zero) raised to the power of zero is equal to 1. Therefore, 27^0 is also equal to 1.
Let's substitute these values into the expression:
9 • (1) + 3/2(8 - 1)
Simplify the expression inside the parentheses:
9 + 3/2(7)
Now, calculate the value of 3/2(7), which means multiplying 3/2 by 7:
9 + (3/2)(7) = 9 + 21/2
To evaluate 9 + 21/2, we need to find a common denominator. The denominator of 2 can be converted to 2 by multiplying 9 by 2/2:
(18/2) + 21/2 = 39/2
Therefore, the equivalent expression to 9 • (-33)^0 + 3/2(8 - 27^0) is 39/2.
To apply the zero power rule, we need to remember that any number (except zero) raised to the power of zero is always equal to 1.
Let's break down the given expression step-by-step:
1. Start with the expression: 9 • (-33)^0 + 3/2(8 - 27^0)
2. According to the zero power rule, (-33)^0 is equal to 1. So, the expression becomes: 9 • 1 + 3/2(8 - 1)
3. Simplify the expression further: 9 + 3/2(8 - 1)
4. Inside the parentheses, simplify the subtraction: 9 + 3/2(7)
5. Multiply the numerator (3) with the quantity (7): 9 + 21/2
6. Since 21/2 can't be simplified further, we'll leave it as it is.
Therefore, the equivalent expression to 9 • (-33)^0 + 3/2(8 - 27^0) is 9 + 21/2.