Multiplying Algebraic Fractional Exponents

[Svetlana_Vein]

Homework Statement

a^3/2a^5/4

Homework Equations

The Attempt at a Solution

I'm hoping you can help. My solution to this problem would be:

a^3/2+5/4=a^8/6=a^4/3

But the answer in the back of my book is given as a^11/4

I'm confused!

 

[Svetlana_Vein]

Figured it! I didn't realize I had to make the denominators match!