What is the value of n in this expression (9^3) ^12 = 9^n

n = 36

Step-by-step explanation:

1. Let's find the value of n for the expression: (9^3) ^12 = 9^n

(9^3) ^12 = 9^n

(9³) ¹² = 9 ⁿ

Let's remember that the power rule tells us that to raise a power to a power, we multiply the exponents. Here you see that 9³ is raised to the 12th power is equal to 36 (3 * 12)

9 ³⁶ = 9 ⁿ

n = 36