11 the 2 second power minus 7 times 6 minus 4 to the third power divided by 2
11^2 - 7*6 - 4^3/2
121 - 42 - 64/2
121 - 42 - 32
79 - 32
47
Let's break down the expression step-by-step:
1. Calculate 11 to the power of 2: 11^2 = 121
2. Multiply 7 by 6: 7 * 6 = 42
3. Calculate 4 to the power of 3: 4^3 = 64
4. Divide the result from step 3 by 2: 64 / 2 = 32
5. Subtract the result from step 4 from the result from step 2: 42 - 32 = 10
6. Finally, subtract the result from step 5 from the result from step 1: 121 - 10 = 111
Therefore, the answer is 111.
To solve the expression, follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses, Exponents, Multiplication/Division (left to right), and Addition/Subtraction (left to right).
Let's break down the expression step by step:
1. Calculate the exponent first:
11 to the 2nd power is equal to 11^2 = 121.
2. Next, perform multiplication and division from left to right:
121 - 7 × 6 - 4^3 ÷ 2
121 - 42 - 64 ÷ 2
3. Evaluate the exponent:
4 to the 3rd power is equal to 4^3 = 4 × 4 × 4 = 64.
Now our expression becomes:
121 - 42 - 64 ÷ 2
4. Continue with the multiplication and division:
121 - 42 - 32
(121 - 42) - 32
5. Simplify the remaining addition and subtraction from left to right:
121 - 42 = 79
79 - 32 = 47
Therefore, the value of the expression 11^2 - 7 × 6 - 4^3 ÷ 2 is 47.