Question

a) 46^135+5x46^136-46^134=
b) 3^n+2+7x3^n+3-5x3^n+1=
c)2^102-2^101-2^100-2^99=


va rooog,ma puteti ajuta??? " ^ " inseamna la putere

Answer 1

a) 46¹³⁵+5*46¹³⁶-46¹³⁴= 46¹³⁴ *(46¹+5*46²- 1)=46¹³⁴ *(46+10580 -1)=
=46¹³⁴ *10625=46¹³⁴ * 10000 *625=46¹³⁴ *10⁴* 5⁴=46¹³⁴ *50⁴


b) 3ⁿ⁺²+7*3ⁿ⁺³ - 5*3ⁿ⁺¹=3ⁿ*3²+7*3ⁿ*3³ -5*3ⁿ*3=3ⁿ*(9+7*27-5*3)=
=3ⁿ*(9+189-15)=3ⁿ*183


c)2¹⁰²-2¹⁰¹-2¹⁰⁰-2⁹⁹=2⁹⁹*(2³-2²-2-1)=2⁹⁹*(8-4-2-1)=2⁹⁹*1=2⁹⁹