Answer: [tex]10^{\frac{1}{2}}}[/tex]
Step-by-step explanation:
According to the property of exponents :
[tex]a^m\times b^m= (a\times b)^m[/tex]
(Bases are different but powers are same.)
For example : a. [tex]2^3\times 3^3= (2\times3)^{3}= 6^3[/tex]
b. [tex]11^{-2}\times 2^{-2}= (11\times2)^{-2}=22^{-2}[/tex]
The given expression is [tex](5^{\frac{1}{2}})(3^{\frac{1}{2}})[/tex]
By using above property , this will become
[tex](5\times3)^{\frac{1}{2}}=10^{\frac{1}{2}}}[/tex]
Hence, the simplified expression is [tex]10^{\frac{1}{2}}}[/tex] .
