Answer: The correct answer is 3a⁴
Step-by-step explanation:
Let the term be n
n=³√27a¹²
Recall n√x=x1^n
Therefore it can be rewritten as;
n=(27a¹²)⅓
27 rewritten as: 3³
Therefore;
n=(3³a¹²)⅓
Using the rule of exponents, (X^a)^b=X^a*b, eliminate the exponent outside the parenthesis:
n=(3³a¹²)⅓
On= 3³*⅓ a¹²*⅓
n=3⅓ a¹⅔
n=3¹ a⁴
Since a¹ = a
Therefore;
n = 3a⁴
Hope this helps
