Which of the following is equivalent to a a^(1/3)*b^(3/4)*c^(5/2)?

note: example: √7:( means 7th root

√12:(ab^3c^3)

12(ab^3c^5)

(abc)^(43/12)

√9:(a^3b^4c^5)

(c^2)√12:(a^4b^9c^6)

Question

Which of the following is equivalent to a a^(1/3)*b^(3/4)*c^(5/2)?

note: example: √7:(  means 7th root

 √12:(ab^3c^3)

 12(ab^3c^5)

 (abc)^(43/12)

 √9:(a^3b^4c^5)

(c^2)√12:(a^4b^9c^6)

anonymous · Answer

Fractional exponents are power-over-root.

anonymous · Answer

ok, and?

anonymous · Answer

Just a sec, I'll type out the preliminary steps..

anonymous · Answer

$$a^{1/3}b^{3/4}c^{5/2} = a^{4/12}b^{9/12}c^{30/12} = \sqrt[12]{a^4b^9c^{30}}$$

anonymous · Answer

Can you find the answer from there?