Multiplying Algebraic Fractional Exponents

AI Thread Summary
The discussion revolves around the multiplication of algebraic fractional exponents, specifically the expression a^(3/2) * a^(5/4). The initial attempt at solving the problem involved incorrectly adding the exponents, resulting in a^(8/6) or a^(4/3). The confusion arose from not matching the denominators before performing the addition. Upon realizing the need to have a common denominator, the correct answer was identified as a^(11/4). This highlights the importance of aligning fractional exponents for accurate calculations.
Svetlana_Vein
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Homework Statement


a3/2a5/4

Homework Equations

The Attempt at a Solution


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

a3/2+5/4=a8/6=a4/3

But the answer in the back of my book is given as a11/4

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

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