Math, asked by ridazainab19, 5 months ago

{(625)^n × 5⁶-5^4n+2 × 125} ÷ (25)^2n × (5)³​

Answers

Answered by mathdude500
3

\color{green}{•••Answer•••}

 \frac{ {625}^{n}  \times  {5}^{6}  - 5 {}^{4n + 2}  \times 125}{ {25}^{2n}  \times  {5}^{3} }  \\  =  \frac{ {5}^{4n}  \times  {5}^{6} -  {5}^{4n + 2} \times  {5}^{3}   }{ {5}^{4n} \times  {5}^{3}  }  \\  =  \frac{ {5}^{4n + 10} -  {5}^{4n + 7}  }{ {5}^{4n + 3} }  \\  =  \frac{ {5}^{4n + 7} ( {5}^{3}  - 1)}{ {5}^{4n + 3} }  \\  =  {5}^{4} (125 - 1) \\  = 625 \times 124 \\  = 77500

\color{green}{•••hope \: it \: helps \: you•••}

Answered by suman8615
0

Step-by-step explanation:

77500 is the answer................

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