What expressions are equivalent to 2^5*2^x a)4^5xb)2^5xc)32*2^xd)2^5+xe)(2*x )^5f)2^5-x

The rules of exponents tell you
  (a^b)·(a^c) = a^(b+c)
Then
  (2^5)·(2^x) = 2^(5+x)
Since 2^5 = 32, this is also equivalent to
  32·2^x

The appropriate choices are ...
  C) 32·2^x
  D) 2^(5+x)