Question

Сократите дробь:

 

$frac{28^{n+2}}{2^{2n+3}*7^{n-2}}$

Answer 1

$frac{28^{n+2}}{2^{2n+3}*7^{n-2}}\ frac{(2^2*7)^{n+2}}{2^{2n+3}*7^{n-2}}= frac{2^{2n+4}*7^{n+2}}{2^{2n+3}*7^{n-2}}=2*7^4=4802$

Answer 2

$frac{4^{n+2}*7^{n+2}}{2^{2n+3}*7^{n-2}}=frac{2^{2n+4}*7^{n+2}}{2^{2n+3}*7^{n-2}}=$

$=2^{2n+4-2n-3}*7^{n+2-n+2}=2*7^4=2*2401=4802$

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