Question

What is the simplified expression for (screenshot)

A. 3/4
B. 4/3
C. 4²/3
D. 3³/4

Answer 1

B. 4/3

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

Answer 2

B. 4/3

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)} \\ \\ = (4)/(3)`