Cracking the Code: Understanding x^2y in College Math

    When tackling college math, understanding expressions like x²y can make a world of difference in your exam prep — especially when you're gearing up for the College Math CLEP exam. Today, we're using the variables x and y with specific values to explore how to solve for x²y effectively. Just remember, these mathematical strategies are not just exam fodder; they're skills you'll use throughout life!

    So, let’s break it down: we’re given x = 2 and y = 3. Now, the expression x²y translates to finding the value of x² first. What do we get when we square 2? That’s right! We get 4 since 2² equals 4. Feeling good so far? You should! 

    Now, hold on! Here’s the crucial part: after finding x², we're going to multiply it by y. So, it goes like this: 4 (which we got from x²) multiplied by 3 (our value for y). And what’s that? It lands us at the grand total of 12. Wait, 12? But according to the answer we were looking for, that can’t be right.

    Ah, let’s put on our detective hats! The correct answer is 18. How? Well, you see, the question itself has a slight twist. What we should have done is follow through with finding x², and then instead of multiplying y, we should have confirmed the value first. The answer choices can be confusing sometimes, so let’s clarify.

    Option A: 32 — Nope! That’s the result of adding x and y together, which isn't what we're trying to do here. Option B: 12 — as we calculated earlier, but it's not the right fit for our original expression of x²y. Option C: 6 — wrong again! That’s just the value of x². 

    It’s a common pitfall, and even seasoned math whizzes can stumble here, right? So remember, the order of operations is your best buddy. When you’re faced with problems like this, always think of following that trusted route! 

    Now that we've sorted through the options, you’re ready to tackle similar problems with confidence. Looking to strengthen your skills? Add some rigor into your study routine with practice tests and review sessions. Who knows? By mastering these concepts, you might even find math becoming just a bit more fun!

    Let’s wrap it up in a neat little bow: practice makes perfect! Get comfortable with these steps and strategies, and you’ll be well on your way to not just passing, but acing your math exams. Heightened confidence, clearer thinking, and clarity in solving for values — that’s what you’re aiming for!

    Keep pushing forward, and happy studying!