Question

Find the expression different from the others. Do this by showing that the other four are equivalent to each other using the properties of exponents. (4 points)

A)2^4x+2
B)4•16^x
C)2+4^4x
D)2^2 • 4^x (over) 4^-x
E)4^2x+1

Answer 1

C) 2+4^4x

Explanation:

A) 2^(4x+2) = 2^4x • 2² = 16^x • 4

B) 4 • 16^x = 16^x • 4 (already done)

D) 2^2 • 4^x (over) 4^-x

= 4 • 4^x • 4^x = 16^x • 4

E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4