Select the correct answer.
What is the solution to the equation?

A. 5
B. 13
C. 22
D. no solution

To solve the equation , first, let’s divide both sides by 2:

Next, we raise both sides to the power of :

Calculating gives us . So, we have:

Adding 4 to both sides gives:

So the correct answer is .

Now let’s get a little context on this!

The equation showcases an interesting side of mathematics—working with exponents! The exponent might look intimidating but it’s just telling us to find the cubic root of first and then square it. This kind of manipulation is common in algebra and helps build strong problem-solving skills.

And speaking of algebraic solutions! Remember to check your work by plugging the solution back into the original equation. This way, you ensure that your value for satisfies . It’s a fantastic habit that can save you from mistakes!