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.
