Question

2^2 X 2^3 X 2^4 X 5^2 X 5^4=???

2^4 X 4^4 X 125 X 25^3=???

2^1 X 2^2 X 2^3 X 3^2 X 5^6=???

2^1 X 2^2 X2^3 X 2^4 X 5^1 X 5^2 X 5^3 X 5^4 X 10^10=???

64 X 16 X 32 X 125 X 125 X 625 X 625 X 5 : 10^13=???

8 x 16 X 128 : 4 : 32 : 64 X 3125 : 625=???


^ = este putere

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Answer 1

Răspuns:

2² × 2³ × 2⁴ × 5² × 5⁴ = 2²⁺³⁺⁴ × 5²⁺⁴ = 2⁹ × 5⁶

                                           

2⁴ × 4⁴ × 125 × 25³ = 2⁴ × (2²)⁴ × 5³ × (5²)³ =

2⁴ × 2⁸ × 5³ × 5⁶ = 2¹² × 5⁹

                                           

2¹ × 2² × 2³ × 3² × 5⁶ = 2¹⁺²⁺³ × 3² × 5⁶ =

2⁶ × 3² × 5⁶ = 10⁶ × 3²

                                           

2¹ × 2² × 2³ × 2⁴ × 5¹ × 5² × 5³ × 5⁴ × 10¹⁰ =

2¹⁺²⁺³⁺⁴ × 5¹⁺²⁺³⁺⁴ × 10¹⁰ = 2¹⁰ × 5¹⁰ × 10¹⁰ =

10¹⁰ × 10¹⁰ = 10¹⁰⁺¹⁰ = 10²⁰

                                           

64 × 16 × 32 × 125 × 125 × 625 × 625 × 5 : 10¹³ =

2⁶ × 2⁴ × 2⁵ × 5³ × 5³ × 5⁴ × 5⁴ × 5 : 10¹³ =

2⁶⁺⁴⁺⁵ × 5³⁺³⁺⁴⁺⁴⁺¹ : 10¹³ =

2¹⁵ × 5¹⁵ : 10¹³ = 10¹⁵ : 10¹³ = 10¹⁵⁻¹³ = 10²