Question

Simplify square root of 3 multiplied by the fifth root of 3. (1 point)

a.)3 to the power of 1 over 10

b.)3 to the power of 3 over 5

c.)3 to the power of 9 over 10

d.)3 to the power of 7 over 10

Answer 1

3 to the power of 7 over 10

Explanation:

Answer 2

`\bf a^{( n)/( m)} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{( n)/( m)}\\\\ -------------------------------\\\\ √(3)\cdot \sqrt[5]{3}\implies \sqrt[2]{3^1}\cdot \sqrt[5]{3^1}\implies 3^{(1)/(2)}\cdot 3^{(1)/(5)}\implies 3^{(1)/(2)+(1)/(5)}\implies 3^{(5+2)/(10)}\implies 3^{(7)/(10)}`