Understanding The Value Of 6N² When N = 3

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Introduction

When it comes to solving math problems, it's important to understand the concepts and formulas involved. One such problem involves finding the value of 6n² when n is equal to 3. In this article, we'll explain what this means and how you can solve it.

What is 6n²?

Before we dive into the problem at hand, it's important to understand what 6n² means. The term 6n² is an algebraic expression, which means it's a combination of numbers and variables (in this case, n). The expression 6n² means "six times n squared." In other words, you multiply the value of n by itself (or square it) and then multiply that result by 6.

Breaking Down the Problem

Now that we know what 6n² means, let's look at the problem itself. We're asked to find the value of 6n² when n is equal to 3. This means we need to substitute 3 in for n in the expression 6n² and then solve the equation.

Step 1: Substitute n with 3

The first step is to replace n with 3 in the expression 6n². This gives us: 6(3)²

Step 2: Simplify the Expression

Next, we need to simplify the expression. To do this, we'll start by solving the exponent (or the squared part of the equation). 3² (or 3 raised to the power of 2) is equal to 9. This gives us: 6(9)

Step 3: Multiply

Finally, we need to multiply 6 by 9 to get our answer. This gives us: 54

Conclusion

So, the value of 6n² when n is equal to 3 is 54. It's important to understand the steps involved in solving this problem so that you can apply the same principles to other algebraic expressions. Remember to always start by substituting the given value for the variable, simplify the expression, and then solve the equation to get your answer.