Question

What expressions are equivalent to 2^5*2^x

A)4^5x
B)2^5x
C)32*2^x
D)2^5+x
E)(2*x )^5
F)2^5-x

Answer 1

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)