Simplify same power multipliers

Question

In Maxima, I can use "rootscontract" to combine multipliers with the same rational power:

(%i1) x^(1/2) * y^(1/2), rootscontract;
(%o1) sqrt(x*y)

Is there a standard method to combine multipliers for arbitrary powers?:

(%i2) 2^x * 3^x, some_option;
(%o2) 6^x

If "some_option" doesn't exist in the vanilla Maxima, how do I approach the the above simplification task?

Thanks!

Answer 1

You can create your own function:

pow_divide (exp, pow):= ((exp)^(1/pow))^pow;

With :

pow_divide((2^x*3^x), x);

it gives you : 6^x