Question

Rezolvati exercitiile:2la puterea 24 ori 3 la puterea 24 minus 6 la puterea 24. (5la pute.7+5la pute.8+5la puterea9):5la puterea 6. (7 la 4 + 2 ×7 la 5+3×7 la 6):162

Answer 1

2^24 × 3^24 - 6^24 =

= (2×3)^24 - 6^24 =

= 6^24 - 6^24 =

= 0

(5^7 + 5^8 + 5^9) : 5^6 =

= 5^7 × (1 + 5 + 5^2) : 5^6 =

= 5^7 × (6 + 25) : 5^6 =

= 5 × 31 =

= 155

(7^4 + 2×7^5 + 3×7^6) : 162 =

= 7^4 × (1 + 2×7 + 3 × 7^2) : 162 =

= 7^4 × (1 + 14 + 3 × 49) : 162 =

= 7^4 × (15 + 147) : 162 =

= 7^4 × 162 : 162 =

= 7^4 =

= 2 401