## What does 5v^2 mean without parentheses?

In mathematics, the order of operations is crucial to ensure that expressions are evaluated correctly. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is a common way to remember the order.

When we see an expression like **5v^2**, without parentheses, the order of operations dictates that the **exponent** is evaluated before the **multiplication**.

Here's how it works:

**Exponent:**The term**v^2**means**v multiplied by itself**(v * v).**Multiplication:**The result of**v^2**is then multiplied by**5**.

Therefore, **5v^2** is equivalent to **5 * (v * v)**.

**Example:**

If **v = 3**, then:

**v^2 = 3 * 3 = 9****5v^2 = 5 * 9 = 45**

**Important Note:** If the intention was to square the entire expression (5v), parentheses would be necessary: **(5v)^2**. In this case, the entire expression (5v) would be multiplied by itself: **(5v) * (5v) = 25v^2**.

Always remember to pay close attention to the order of operations when dealing with mathematical expressions. Understanding this will ensure you get the correct answer every time.