Question

Calculate using the rules for order of operations(7²-6)³+7

Answer 1

To apply the order of operations to the problem (7²-6)³ + 7; first, solve the exponent, then the subtraction within the parentheses; cube that result; and finally add 7. Therefore, the calculated result is 79,514.

Step-by-step explanation:

To solve the problem using the order of operations, firstly, we perform the operation inside the parentheses, then apply exponents, multiplication or division going from left to right, and finally perform addition and subtraction from left to right.

Let's apply these rules to the given problem: (7²-6)³ + 7

1. First, solve the exponent: 7² = 49.
2. Then carry out the subtraction inside the parentheses: 49-6 = 43.
3. Then solve the exponent on the result (which is 3): 43³ = 79,507.
4. Finally, add 7: 79,507 + 7 = 79,514.

So, the result after applying the order of operations is 79,514.

Learn more about Order of Operations