9.(-33)^0+3/2(8-27^0
To solve this expression, we need to follow the order of operations (PEMDAS).
First, we need to simplify the exponents. Any number raised to the power of 0 is equal to 1.
(-33)^0 = 1
Therefore, the first part of the expression becomes 1.
Next, we need to simplify the parentheses.
8 - 27^0 = 8 - 1 = 7
Now we have:
(-33)^0 + 3/2 * 7
Next, we need to simplify the multiplication:
3/2 * 7 = 21/2
Now we have:
(-33)^0 + 21/2
Finally, we add the two terms together:
(-33)^0 + 21/2 = 1 + 21/2
Adding these fractions requires a common denominator. The common denominator of 2 and 1 is 2.
1 + 21/2 = 2/2 + 21/2 = 23/2
So the simplified value of the expression is 23/2.
To simplify the given expression, we will follow the order of operations (PEMDAS) and evaluate it step-by-step.
Step 1: Deal with parentheses
There are no parentheses in the expression, so we can move on to the next step.
Step 2: Exponents
(-33)^0 means any number raised to the power of zero is always equal to 1.
Therefore, (-33)^0 = 1.
Step 3: Divide and multiply from left to right
Now, let's evaluate the remaining multiplication and division from left to right.
3/2(8-27^0) = 3/2(8-1)
= 3/2 * 7
= 21/2
= 10.5
Therefore, the value of the given expression is 10.5.
To solve this expression, let's break it down step by step.
Step 1: Evaluate (-33)^0
Any number raised to the power of 0 is always equal to 1, so (-33)^0 = 1.
Step 2: Simplify 27^0
Similar to the previous step, any number raised to the power of 0 is always equal to 1. Hence, 27^0 = 1.
Step 3: Substitute the values into the expression: 9 + 3/2(8 - 1)
Step 4: Calculate the subtraction in the parentheses: 9 + 3/2(7)
Step 5: Solve the division: 9 + (3/2) * 7
When multiplying fractions, multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. In this case, (3/2) * 7 = (3 * 7) / (2) = 21/2.
Step 6: Add the numbers: 9 + 21/2
To add a whole number and a fraction, we need to convert the whole number to a fraction with the same denominator as the fraction. So, by multiplying 9 by 2/2, it becomes 18/2. Therefore, the expression becomes 18/2 + 21/2.
Step 7: Combine the fractions: 18/2 + 21/2 = (18 + 21) / 2 = 39/2.
So, the final answer for the expression 9(-33)^0 + 3/2(8 - 27^0) is 39/2.