Solve the equations

Question

1) 27^-3v/81=81

2) 1/64•64^-2x=16

3) 1/3•9^-2x-2=27

4) 32^-3a•8^a=(1/16) ^-a

5) (1/64) ^n/16^3n=8

6) 1/36•36^1-p=216^3p

Answer 1

I will not solve these for you, but I will tell you how to do them.

Each of these equations has numbers which are powers of a single base. For example, in problem 1 all the numbers are powers of 3.

Write the numbers as powers of the base involved and the solutions will become clear.