Question

Simplify (square root 3)(^5 square root 3)

Answer 1

Answer:

Step-by-step explanation:

Exponent law: $a^{m}*a^{n}=a^{m+n}$

$(\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}$

Answer 2

Answer:

$3^{\frac{7}{10} }$

Step-by-step explanation:

$\sqrt{3} *\sqrt[5]{3}$ = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10