Solve for n:5*8^3n+1=80

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)