If 16x = 64^y, which of the following expresses x in terms of y?
Choose the correct option.
A) 4^(3y-2)  B) 4^(y-1)  C) 4^(2y-1)  D) 4^(2y-3)  E) 4^y
By exponential simplification. 16 = 4^2 and 64=4^3 therefore (4^2)x=(4^3)^y gives x=(4^3y)/(4^2) further simplified to x=(4^3y)(4^-2) which gives x=4^(3y-2) Because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). 4^(3y-2)nswer: 4^(3y-2)
<result>A</result>
If 16x = 64^y, which of the following expresses x in terms of y?