Question

Ce proprietate ați folosit pentru a calcula mai rapid? a) (1+3×3²×3⁴):(3⁷+1) b) (1+4×4³×4⁴):4⁸+1) c)1+6×6²×6³):(6⁶+1) d) (1+11×11⁴×11⁶):(11¹¹+1) e) (1+13×13²×13⁷):(13¹⁰+1) f) (2+18×18²×18⁴):(18⁷+2) Dau coroana​

Answer 1

Răspuns:

a) (1+3×3²×3⁴):(3⁷+1)=(1+3⁷):(3⁷+1)=1

b)(1+4×4³×4⁴):(4⁸+1) =(1+4⁸):(4⁸+1)=1

c)(1+6×6²×6³):(6⁶+1)=(1+6⁶):(6⁶+1)=1

d)(1+11×11⁴×11⁶):(11¹¹+1) =(1+11¹¹):(11¹¹+1)=1

e) (1+13×13²×13⁷):(13¹⁰+1)=(1+13¹⁰):(13¹⁰+1)=1

f) (2+18×18²×18⁴):(18⁷+2)=(2+18⁷):(18⁷+2)=1

Am folosit proprietatea puterii: a×a=a²; a×a²×a²×a=a⁶