Final answer:
The given expression (m² n³ / n´) ⁴ simplifies to m⁸ / n⁴ by subtracting exponents for the same base and applying the power to the numerator and denominator separately.
Step-by-step explanation:
To simplify the expression (m² n³ / n´) ⁴, we must follow the exponent rules. First, let's simplify the expression inside the parentheses.
Inside the parentheses, we have m² n³ / n´. Since the bases are the same for the n terms, we can subtract the exponents, which gives us m² / n because n³ / n´ = n⁻¹.
Now we apply the exponent outside the parentheses, which affects both the numerator and the denominator: (m² / n)⁴. Multiplying the exponents we get m⁸ / n⁴. So the simplified form of the original expression is m⁸ / n⁴.