Math Expression: Exponent Laws Questions

Simplify the following expression:

The following pictures are the exponent laws. You can use them as reference.

Step 1

Notice that the base for both terms are not the same. So, we need to find a way to make the them the same.
Step 2

Now, to make these bases the same, note that:

Replacing 9 with 3², we have:

(3²)² x 3^-2
Step 3

To proceed, we need to simplify the term:

(3²)²

Using the exponent law as shown in the picture, we get:

(3²)² = 3^{2 x 2}
Step 4

Now, 2 multiply by 2 gives 4.
Step 5

To proceed, we need to simplify:

3⁴ x 3^-2

Using the exponent law as shown in the picture, we get:
Step 6

Now, 4 minus 2 gives 2.

Finally, we have the simplest term: 3²

Therefore, the answer is A.