Math, asked by hazel2006, 5 months ago

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Answered by Anonymous
32

Answer:

(4) 1

Explanation:

 \frac{2 {}^{n + 4}   - 2(2 {}^{n} )}{2(2 {}^{n}  + 3)}  + 2 {}^{ - 3}  \\  \\  =  \frac{2 {}^{n} .2 {}^{4 }  - 2.2 {}^{n} }{2.2 {}^{n}.2 {}^{3}  }  + 2 {}^{ - 3}  \\  \\  =  \frac{2 {}^{n} (2 {}^{4} - 2) }{2.2 {}^{n} .2 {}^{3} }  + 2 {}^{ - 3}  \\  \\  =  \frac{2 {}^{4}  - 2}{2.2 {}^{3} }  + 2 {}^{ - 3}  \\  \\  =  \frac{16 - 2}{ 2\times 8}  + 2 {}^{ - 3}  \\  \\  =  \frac{14}{16}  + 2 {}^{ - 3}  \\  \\  =  \frac{14}{16}  +  \frac{1}{2 {}^{3} }  \\  \\  =  \frac{14}{16}  +  \frac{1}{8}  \\  \\  =  \frac{7}{8}  +  \frac{1}{8}  \\  \\  =  \frac{7 + 1}{8}  =  \frac{8}{8}  = 1

Answered by btsarethebest
2

Answer:

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