Question

Simplify $(\sqrt{3} )(\sqrt[5]{3} )$


3 to the power of 1 over 10

3 to the power of 3 over 5

3 to the power of 9 over 10

3 to the power of 7 over 10

Answer 1

Answer:

Option D, 3 to the power of 7 over 10

Step-by-step explanation:

Step 1:  Change $\sqrt{3}$ into a number with an exponent

$\sqrt{3} =$ 3^(1/2)

Step 2:  Change $\sqrt[5]{3}$ into a number with an exponent

$\sqrt[5]{3}$ = (3)^1/5

Step 3:  Convert into same denominator

1/2 * 5/5 -> 5/10

1/5 * 2/2 -> 2/10

Step 4:  Multiply

3^(5/10) * 3^(2/10)

3^(5/10 + 2/10)

3^(7/10)

Answer:  Option D, 3 to the power of 7 over 10