Math, asked by sallu17, 1 year ago

(simplify) 7powerN+2 - 3×7powerN+1 upon 20×7powerN (-) 2×7POWER N

Answers

Answered by ShuchiRecites
2
Hello Mate!

 \frac{ {7}^{n + 2} - 3 \times  {7}^{n + 1}  }{20  \times  {7}^{n} - 2 \times  {7}^{n}  }   \\  \frac{ {7}^{n}  \times  {7}^{2} - 3 \times 7 \times  {7}^{n}  }{ {7}^{n}(20 - 2) }  \\ \frac{ {7}^{n}(49 - 21) }{ {7}^{n} \times 18 }  \\  =  \frac{28}{18}  =  \frac{14}{9}

*Answer is 14/9*

Hope it helpe☺!

ShuchiRecites: Numerator = 2^n ( 28 )
ShuchiRecites: Dinominator :- 2^4 × 2^2 × 2^n - 2 × 2^2 × 2^n
ShuchiRecites: Dinominator :- 2^n ( 64 - 8 )
ShuchiRecites: Dinominator :- 2^n ( 56 )
ShuchiRecites: Fraction :- ( 2^ n × 18 ) / ( 2^n × 56 )
ShuchiRecites: 2^n cancelled out, and sorry that is 28 not 18
ShuchiRecites: 28/56 = 1/2
ShuchiRecites: Answer :- 1/2
sallu17: tq
sallu17: thanks
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