Question

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

Answer 1

`3^{(7)/(10) }`

Explanation:

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

Answer 2

Explanation:

Exponent law:
`a^(m)*a^(n)=a^(m+n)`

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