70-[5×(2²÷4)+3²]

Question

70-[5×(2²÷4)+3²]

Accepted Answer

Let's solve the expression step by step following the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

The given expression is:

$$70 - [5 \times (2^2 \div 4) + 3^2]$$

1. Solve the exponentiation inside the parentheses:
$$2^2 = 4$$
So the expression becomes:
$$70 - [5 \times (4 \div 4) + 3^2]$$

2. Perform the division inside the parentheses:
$$4 \div 4 = 1$$
So the expression becomes:
$$70 - [5 \times 1 + 3^2]$$

3. Solve the remaining exponentiation:
$$3^2 = 9$$
So the expression becomes:
$$70 - [5 \times 1 + 9]$$

4. Perform the multiplication:
$$5 \times 1 = 5$$
So the expression becomes:
$$70 - [5 + 9]$$

5. Perform the addition inside the brackets:
$$5 + 9 = 14$$
So the expression becomes:
$$70 - 14$$

6. Finally, subtract:
$$70 - 14 = 56$$

Therefore, the result of the given expression is $56$.