(-20)^0 + 1/2(18-6^0)
To simplify this expression, we need to follow the order of operations (PEMDAS/BODMAS).
First, let's evaluate the terms inside the parentheses:
-6^0 = -6^0 = -1. Any number (except zero) raised to the power of 0 is equal to 1, so -6^0 = -1.
18 - 6^0 = 18 - 1 = 17
Now let's substitute the values we found back into the expression:
(-20)^0 + 1/2(17)
Since any number (except zero) raised to the power of 0 is equal to 1, (-20)^0 = 1.
1 + 1/2(17)
Next, we multiply 1/2 by 17:
1/2 * 17 = 17/2 or 8.5
1 + 8.5
Finally, we add 1 and 8.5:
1 + 8.5 = 9.5
So, the simplified form of the expression (-20)^0 + 1/2(18-6^0) is 9.5.
To solve this expression step-by-step, follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify any exponential expressions:
(-20)^0 = 1 (Any number raised to the power of 0 is always equal to 1.)
Step 2: Simplify the rest of the expression:
1/2 * (18 - 6^0)
Since 6^0 is equal to 1 (any number raised to the power of 0 is always 1), we can rewrite the expression as:
1/2 * (18 - 1)
Step 3: Simplify the subtraction:
1/2 * (17)
Step 4: Simplify the multiplication:
1 * 17
Step 5: Evaluate the final result:
17.
So, the final answer is 17.
To simplify the expression (-20)^0 + 1/2(18-6^0), we will go through the order of operations (also known as PEMDAS).
Step 1: Deal with parentheses.
Inside the parentheses, we have 18-6^0. Since any number raised to the power of 0 is equal to 1, we can simplify 6^0 to 1. Therefore, 18-6^0 becomes 18-1, which is equal to 17.
So now our expression is (-20)^0 + 1/2(17).
Step 2: Deal with exponents.
(-20)^0 means -20 raised to the power of 0. Any number (except 0) raised to the power of 0 is equal to 1. So (-20)^0 becomes 1.
Now our expression is 1 + 1/2(17).
Step 3: Deal with multiplication and division from left to right.
The multiplication and division take precedence over addition and subtraction. In this case, we have 1/2 multiplied by 17.
To simplify this, we multiply 1/2 by 17. Multiplying 1/2 by 17 gives us 8.5.
Now our expression becomes 1 + 8.5.
Step 4: Deal with addition and subtraction from left to right.
Finally, we add 1 to 8.5, which gives us 9.5.
Therefore, (-20)^0 + 1/2(18-6^0) simplifies to 9.5.