MorganBucaille MorganBucaille
  • 03-01-2021
  • Mathematics
contestada

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

What is the simplified expression for screenshot A 34 B 43 C 43 D 34 class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 03-01-2021

Answer:

B. 4/3

Step-by-step explanation:

[tex] \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} [/tex]

Answer Link
ackahedem582
ackahedem582 ackahedem582
  • 03-01-2021

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

Answer Link

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