Question

What is the simplified expression for (screenshot)
A. 3/4
B. 4/3
C. 4²/3
D. 3³/4

Answer 1

Answer:

B. 4/3

Step-by-step explanation:

$\frac{ {4}^{ - 3} . {3}^{4} . {4}^{2} }{ {3}^{5} . {4}^{ - 2} } \\ \\ = \frac{ {4}^{ - 3} . {4}^{2 + 2} }{ {3}^{5 - 4}} \\ \\ = \frac{ {4}^{ - 3} . {4}^{4} }{ {3}^{1}} \\ \\ = \frac{ {4}^{4 - 3} }{ {3}^{1}} \\ \\ = \frac{ {4}^{1} }{ {3}^{1}} \\ \\ = \frac{4}{3}$

Answer 2

Answer:

B. 4/3

Step-by-step explanation:

(4^-3 . 3^4 . 4^2)/(3^5 . 4^-2)

4^-3 . 4^2/ 4^-2 . 3^4/ 3^5

4^(-3+2-(-2)) . 3^(4-5)

4^1 . 3^-1

4 . 1/3 = 4/3