Simplify the following expression:
The following pictures are the exponent laws. You can use them as reference.
Let's first focus on the numerator:
Using the exponent law* as shown in the picture, we get:
*Note: If you are not sure on how to derive this law, you can see it at step 3 in this practice question.
2 multiply by 2 gives 4, and
3 multiply by 2 gives 6.
Hence, we have 6q4s6.
Next, let's focus on the denominator:
Hence, we have 2q3s6.
Now, after simplifying the numerator and denominator, the original expression becomes:
Using the exponent law as shown in the picture, we get:
Now, we can write:
Finally, we have the simplest term, 3q
Clearly, the answer is C.
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