How to rewrite the exponential expression to have the indicated base?

Question

a) 9^2x, base 3

b) 16^3x, base 2

c) (1/8)^2x, base 2

d) (1/27)^x, base 3

Answer 1

a) 9^2x, base 3 = (3^2 )^2x = 3^4x

b) 16^3x, base 2 = 2^4) ^3x = 2^12x

c) (1/8)^2x, base 2 = 2^-3) ^2x = 2^-6x

d) (1/27)^x, base 3 = 3^-3) ^x = 3^-3x