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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

Which Expression Is Equivalent To A23 13122 OA 76656 OB 44323 Oca12612 C OD A43616 OEal3616 class=

Sagot :

Sqdancefanidn

Answer:

  E.  a^(1/3)b^(1/6)

Step-by-step 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 ...

  [tex](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}}[/tex]

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