Question

Question 9 / 13


End Assignment
8
3
x
−
4
4
x
−
2
=
?

Select one answer
A
2
2
x
−
6

B
2
7
x
−
16

C
2
2
x
−
2

D
2
7
x
−
8

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Answer 1

Rewrite bases as powers of 2:
8 = 2^3 and 4 = 2^2, so
8^(3x−4) / 4^(x−2) = (2^3)^(3x−4) / (2^2)^(x−2)
= 2^(9x−12) / 2^(2x−4) = 2^( (9x−12) − (2x−4) )
= 2^(7x−8).

Answer: D.