Question

Question is in the image

Answer 1

The rule of power for the algebraic expressions are shown below,
                (x^n)^m = x^mn
This states that the final exponent of the variable or the expression is the product of the exponents. 

For this item, we can rewrite the given as,
      (1000m³n¹²)^(1/6)

If we multiply the exponents to 1/6, we get
    (1000^1/6) x (m^1/2) x (n^2)

Also, it should be noted that 1000 = 10³. Hence, the final answer would be,
   (10^1/2) x (m^1/2) x (n^2)

Simplifying this,
   ANSWER:  n² √10m

The answer is letter A.