Question

The question says: "Put each fractional expression into standard form by rationalizing the denominator."

 

It gives the fraction (9)/(4th root)(2). 

I multiplied both the numerator and the denominator by (4throot)(2). The answer key says "((9)(4th root)(8))/(2)", but I'm not sure how to get to that answer. Should I be multiplying the fraction by the starting denminator, or should I change the exponents? 

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