Question

Thực hiện phép tính một cách hợp lí :

1.(5.3¹¹+4.3¹²):(3⁹.5²-3⁹.2³)

2.(1²+2²+3²+...+99²+100²).(36.333-108.111)

Answer 1

1.(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^12):(3^9.5^2-3^9.2^3)

=(5.3^11+4.3^11.3):[3^9.(5^2-2^3)]

=(5.3^11+12.3^11):[3^9.17]

=3^11.(5+12):(3^9.17)

=(3^11.17):(3^9.17)

=17.(3^11:3^9)

=17.3^2

=17.9

=153

Answer 2

2.(1²+2²+3²+...+99²+100²).(36.333-108.111)

=2.(1²+2²+3²+...+99²+100²).(36.333-36.3.111)

=2.(1²+2²+3²+...+99²+100²).(36.333-36.333)

=2.(1²+2²+3²+...+99²+100²).0

=0