Exponential Equations - Left/Right Hand Equations

Question

a. The left hand side of the equation

9^6=27^-2p-2

Can be written in the form 3^f(p) for some linear function f(p). What is f(p)?

b. The right hand side of the equation

9^6=27^-2p-2

can be written in the form 3^g(p) for some linear function g(p). What is g(p)?

c. Use the functions you found in parts a and b to solve for p in 9^6=27^-2p-2.

Answer 1

(3²)⁶ = (3³)^-2p-2

3¹⁸ = 3^{-6p - 6}

18 = -6p - 6

Can you solve for p and answer?