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the quantity \((3^{\frac{5}{4}})(9^{\frac{3}{2}}) \)can be written in the form \(3^x\). what is the value of x?

 

thank you in advance !

 May 2, 2020

Best Answer 

 #1
avatar+457 
+2

Hi andrewstanells,

 

I'm not sure if my answer is right, but here's my solution anyways:

 

\(3^\frac{5}{4}=3^\frac{5}{4}\)

\(9^{\frac{3}{2}}=(3^2)^{\frac{3}{2}}=3^3\)

 

So, \(3^{\frac{5}{4}}\cdot3^3=3^{{\frac{5}{4}}+3}=\boxed{3^\frac{17}{4}}\)

 

So, \(\boxed{x=\frac{17}{4}}\)

 

 

I hope this helped you!

:)

 May 2, 2020
 #1
avatar+457 
+2
Best Answer

Hi andrewstanells,

 

I'm not sure if my answer is right, but here's my solution anyways:

 

\(3^\frac{5}{4}=3^\frac{5}{4}\)

\(9^{\frac{3}{2}}=(3^2)^{\frac{3}{2}}=3^3\)

 

So, \(3^{\frac{5}{4}}\cdot3^3=3^{{\frac{5}{4}}+3}=\boxed{3^\frac{17}{4}}\)

 

So, \(\boxed{x=\frac{17}{4}}\)

 

 

I hope this helped you!

:)

lokiisnotdead May 2, 2020
 #2
avatar+62 
+2

it is right, thank you lokiisnotdead! :)

andrewstanells  May 2, 2020
edited by andrewstanells  May 2, 2020
 #3
avatar+457 
+2

you're welcome andewstanells! :)

lokiisnotdead  May 2, 2020
 #4
avatar+111326 
+2

THX, guys!!!

 

A "Best Answer "

 

cool cool cool

CPhill  May 2, 2020

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