Question

вычислите 1)(23^6*22^3*24)/23^8-23^6) 2)(25^5-25^4*4)/(5^8-5^7+5^6) 3)(7^11-7^10-7^9)/67*49^6-26*7^8)

Answer 1

$\frac{23^6*22^3*24}{23^8-23^6} = \frac{23^6*22^3*24}{23^6(23^2-1)} = \frac{22^3*24}{(23-1)(23+1)} = \frac{22^3*24}{22*24} =22^2=484$


$\frac{25^5-25^4*4}{5^8-5^7+5^6} = \frac{25^4(25-4)}{5^6(5^2-5+1)} = \frac{(5^2)^4*21}{5^6(25-5+1)} =\frac{5^8*21}{5^6*21} =5^2=25$