Question

Scrie ca putere folosind factorul comun: e) 7 × 2¹⁵ + 9 × 2¹¹ + 7 × 2¹¹
f) 2 × 3²³ + 3²² + 4 × 3²¹ + 6 × 3²⁰​

Answer 1

Explicație pas cu pas:

e) 7 × 2¹⁵ + 9 × 2¹¹ + 7 × 2¹¹=7 × 2¹⁵ + 2¹¹×(9+7)=7×2¹⁵ + 2¹¹×16=7×2¹⁵ + 2¹¹×2^4=7×2¹⁵ +2¹⁵ = 2¹⁵ ×(7+1)=2¹⁵ ×8=2¹⁵ ×2^3=2^18

f) 2 × 3²³ + 3²² + 4 × 3²¹ + 6 × 3²⁰=2 × 3²³ + 3²² + 4 × 3²¹ +2× 3× 3²⁰=2 × 3²³ + 3²² + 4 × 3²¹ +2×3²¹=2 × 3²³ + 3²² +3²¹× (4+2)=2 × 3²³ + 3²² +3²¹×6=2 × 3²³ + 3²² +3²¹×3×2=2 × 3²³ + 3²² +3²²×2=2 × 3²³+3²² ×(1+2)=2 × 3²³+3²² ×3=2 × 3²³+3²³=3²³×(2+1)=3²³×3=3^24