+114 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 !
+738 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!
:)
+738 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!
:)
