Final answer:
To simplify the expression ∛-27n²⁷ⁿ, rewrite -27 as (-3)³ and then use the properties of exponents to combine the terms. The final simplified expression is -3n⁹.
Step-by-step explanation:
To simplify the expression ∛-27n²⁷ⁿ, we first need to understand the concept of exponentiation and cube roots. The cube of a number is the number multiplied by itself twice, and the cube root of a number is the value that, when multiplied by itself twice, gives the original number. In this case, we have the cube root of -27 multiplied by n squared and n raised to the power of 27. To simplify, we can rewrite -27 as (-3)³, and then use the properties of exponents to combine the terms. The final simplified expression is -3n⁹.