Question

(04.01)

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

Answer 1

2*5/6 I just took the test

Explanation:

Answer 2

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 ~