Q20. - Algebra 1

Question

Evaluate each expression.

$10+8^3÷16$

Step-by-Step Solution

Answer

The value of the expression $\mathbf{10}\mathbf{+}{\mathbf{8}}^{\mathbf{3}}\mathbf{÷}\mathbf{16}$ is 42.

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.

$10+8^3÷16=10+\text{512}÷16$

Step 3. Divide 512 by 16.

As per the order of operations, now divide 512 by 16.

$10+8^3÷16=10+\text{32}$

Step 4. Apply addition operation.

Add 10 and 32.

$10+8^3÷16=42$

Therefore, the expression is equal to 42.