Simplify square root of 2 multiplied by the cube root of 2 . (1 point) 2 to the power of 1 over 6 2 to the power of 2 over 3 2 to the power of 5 over 6 2 to the power of 7 over 6

The third one, 2 to the power of 5 over 6

√2 * 3√2

convert from radical form to exponent form to solve for the same root

( x^m/n = n√x^m )

2^(1/2) * 2^(1/3)

2^{3/6} * 2^{2/6} - find common denominator (6)

6√(2^3) * 6√(2^2) - convert back to radical form

6√(2^3 * 2^2)- combine

6√(2^5)

then convert to exponential form again

~ 2^5/6 ~

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct