Select the equivalent expression. (64.2)^3=?
Choose 1
A )
6^64x2^3
B )
6^12x6
C )
6^64x6
D )
6^12x2^3

(6^4 . 2)³ = 6^12 . 2³

The answer is: D

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2