SOLUTION: ((a^2)(b)/9th root((a^3)(b^6)) can you help me solve this problem please. Thanks

Question 273496: ((a^2)(b)/9th root((a^3)(b^6))
can you help me solve this problem please.
Thanks
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

In simplifying expressions like this, it is often helpful to replace radicals with fractional exponents. So this is where we'll start:

Now we can start using our rules and properties of exponents. In the denominator we can use the property, :

Then we can use the power of a power rule (i.e. multiply the exponents):

Reducing the fractions we get:

Now we'll use the rule for exponents when dividing (i.e. subtract the exponents):

To subtract the exponents we need the same denominators:

which simplifies to:

which may be an acceptable answer. But we could also do the following:

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