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ankoles [38]
3 years ago
15

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

Mathematics
2 answers:
Lina20 [59]3 years ago
6 0

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}

77julia77 [94]3 years ago
6 0

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

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