Question

Which expression is equivalent to (a2/3 1/31/22

OA 7/665/6
OB. 44/32/3
Oca1/261/2
C.
OD. a4/361/6
OE.al/361/6

Answer 1

E. a^(1/3)b^(1/6)

Explanation:

You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).

Rules of exponents

The applicable rules of exponents are ...

(a^b)^c = a^(bc)

(ab)^c = (a^c)(b^c)

Application

The given expression simplifies to ...

`(a^(2/3)b^(1/3))^(1/2)=a^((2/3)(1/2))b^((1/3)(1/2))=\boxed{a^(1/3)b^(1/6)}`