Question

simplify : ( 5^n+2 - 6 x 5^n+2 ) / ( 13 x 5^n - 2 x 5^n+1 )

Answer 1

Answer:

simplify : ( 5^n+2 - 6 x 5^n+2 ) / ( 13 x 5^n - 2 x 5^n+1 )

Answer 2

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To simplify:

$= \frac{ {5}^{n + 2} - 6 \times {5}^{n + 2} }{13 \times \ {5}^{n - 2} - 2 \times {5}^{n + 1} }$

Simplification:

$= \frac{ {5}^{n} \times {5}^{2} - 6( {5}^{n} \times 5) }{13 \times {5}^{n} - 2( {5}^{n} \times 5) }$

$= \frac{ {5}^{n}(25 - 30) }{ {5}^{n}(13 - 10) }$

(Crossing out 5^n)

$= \frac{ - 5}{3}$