Question

Evaluate each expression.

$24÷6+2^3\cdot 4$

Short answer

The value of the expression $\mathbf{24}\mathbf{÷}\mathbf{6}\mathbf{+}{\mathbf{2}}^{\mathbf{3}}\mathbf{\cdot }\mathbf{4}$is 36.

Step-by-step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate power.

$24÷6+2^3\cdot 4=24÷6+8\cdot 4$

Step 3. Divide 24 by 6.

As per the order of operations, now divide 24 by 6.

$24÷6+2^3\cdot 4=4+8\cdot 4$

Step 4. Multiply 8 by 4.

As per the order of operations, now multiply 8 by 4.

$24÷6+2^3\cdot 4=4+32$

Step 5. Apply addition operation.

Add 4 and 32.

$24÷6+2^3\cdot 4=36$

Therefore, the expression is equal to 36.