When multiplying numbers raised to fractional exponents, remember that if the numbers are the same, simply add the exponents. If the exponents are the same and the numbers are different, multiply the numbers and keep the exponent the same.

For example:

6^(2/3) * 6^(3/4)    The bases are the same (6), therefore keep the base and add the exponents

6^(2/3 + 3/4)

2/3 + 3/4 = 8/12 + 9/12 = 17/12

The answer is 6^(17/12)


Another example:

4^(1/3) * 9^(1/3)     The exponents are the same, so keep the exponent as is and multiply the bases

4 * 9 = 36

The answer is 36^(1/3)