Multiply 3^to the square root of 2* 3^the square root of 4.

I got 3^to the square root of 2 for a answer.
Is this correct? If not, could you please help me with this problem? Thanks.

To multiply two expressions with the same base, you can simply add the exponents. In this case, we have:

3^(√2) * 3^(√4)

Now, let's simplify each exponent:

√2 is the same as raising to the power of 1/2.
√4 is the same as raising to the power of 2/2, which simplifies to 1.

So, we have:

3^(1/2) * 3^1

To multiply these, we add the exponents:

3^(1/2 + 1)

Which simplifies to:

3^(3/2)

Therefore, the correct answer is 3 raised to the power of 3/2.