Question

Scrie ca putere, folosind factorul comun, după model: Model: 25+ 6.24 = 2.24 + 6.24 = 24. (2 + 6) = 24.8 = 24. 23 = 27 a) 7 + 6 . 7; c) 3.515 +2.515; b) 2.314 + 25 314, d) 36 + 18.34; . e) 311 + 6.310, f) 521 – 4.520
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Answer 1

Răspuns:

Explicație pas cu pas:

a) 7 + 6 × 7 = 7×(1+6) = 7×7 = 7² = 49

b) 2×3¹⁴+ 25×3¹⁴=

= 3¹⁴×(2+25) =

= 3¹⁴×27 =

= 3¹⁴×3³=

= 3⁽¹⁴⁺³⁾=

= 3¹⁷

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c) 3×5¹⁵ + 2×5¹⁵ =

= 5¹⁵× ( 3+2) =

= 5¹⁵× 5 =

= 5⁽¹⁵⁺¹⁾ =

= 5¹⁶

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d)  3⁶ + 18 ×3⁴ =

= 3⁶ + 2×9×3⁴ =

= 3⁶ + 2×3²×3⁴ =

= 3⁶ + 2×3⁽²⁺⁴⁾ =

= 3⁶+2×3⁶ =

= 3⁶× (1+2) =

= 3⁶×3=

= 3⁽⁶⁺¹⁾=

= 3⁷

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e)  3¹¹+6×3¹⁰ =

= 3¹⁰× (3+6) =

= 3¹⁰× 9 =

= 3¹⁰× 3² =

= 3⁽¹⁰⁺²⁾ =

= 3¹²

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f)  5²¹ - 4×5²⁰ =

= 5²⁰× (5-4) =

= 5²⁰× 1 =

= 5²⁰