Question

1. CALCULATI:
2+7×[2^2×2^3+6^10:(2^8×3^10)]:9=?

2. SCRIETI NUMARUL 30 CA SUMA DE PATRATE PERFECTE.
3. SCRIETI NUMARUL 99 CA SUMA DE CUBURI PERFECTE.

Answer 1

3) 99 = 64 + 27 + 8 = 4³ + 3³ + 2³ ;

2) 30 = 25 + 4 + 1 = 5²+2²+1² ;

1) 2+7x[2²x2³+6¹⁰:(2⁸x3¹⁰)]:9 = 2+7x[2²⁺³+2¹⁰x3¹⁰:(2⁸x3¹⁰)]:9 =

= 2+7x[2⁵+2¹⁰⁻⁸x3¹⁰⁻¹⁰)]:9 = 2+7x[2⁵+2²]:9 = 2+7x 36:9 = 2+28 = 30

Answer 2

1. 2+ 7·[2²· 2³+ 6¹⁰:(2⁸·3¹⁰)]: 9=

2+ 7·[2²⁺³+ (2·3)¹⁰: (2⁸·3¹⁰)]: 9=

2+ 7·[2⁵+ (2¹⁰·3¹⁰) : (2⁸·3¹⁰)]: 9=

2+ 7·[2⁵+ (2⁸⁺²·3¹⁰) : (2⁸·3¹⁰)]: 9=

2+ 7·[2⁵+ (2⁸·2²·3¹⁰) : (2⁸·3¹⁰)]: 9=

2+ 7·(2⁵+ 2²): 9=

2+ 7·(2²⁺³+ 2²): 9=

2+ 7·(2²·2³+ 2²·1): 9=

2+ 7·[2²·(2³+ 1)]: 9=

2+ 7·[2²·(8+ 1)]: 9=

2+ 7·(2²·9) : 9=

2+ 7·2²=

2+7·4=

2+ 28=

30

2. 30 = 1+ 4+ 25                                    3. 99= 8+ 27+ 64

        =1²+ 2²+ 5²                                             = 2³+ 3³+ 4³