Final answer:
The expression (7 + 3)0 evaluates to 0, because any number multiplied by zero is zero. This applies the rule from multiplication that establishes this property.
Step-by-step explanation:
To evaluate the expression (7 + 3)0, we simply follow the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we address the addition inside the parentheses.
7 + 3 = 10
Now, we have 10 multiplied by 0. According to the rules of multiplication, any number multiplied by zero results in zero.
Therefore, the expression (7 + 3)0 equals 0.
This is because any time you see a number being multiplied by zero, you can be certain that the product will be zero. This is a quick way to simplify the algebra because you can immediately recognize that the entire expression will be zero without performing further calculations.