Which expression is equivalent to (3√m)^7?

Question

Answer choices are 

A) 7^m/3

B) 3^m/7

C) m^3/7

D) m^7/3

Answer 1

I don't see any of the choices as being the correct answer.....according to the properties of radicals, the expression can be rewritten as (3^7) * m^(7/2).  The 3^7 evaluates to 2187 & sqrt(m) raised to 7 evaluates to m raised to 7/2....

 

 

Answer 2

I assume this is supposed to be the cube root of m raised to the seventh power. That's the same as:

 

(m^1/3)⁷ = m^7/3

 

The correct answer is D.

Answer 3

Did you mean (³√m)⁷ ?  [In the problem statement you have (3√m)⁷].  Assuming you meant the former,

 

(³√m)⁷ = (m^1/3)⁷ = m^7/3

 

The correct answer is (D).